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Finding the Fourth Proportional to 5,702,780.65, 7,869,854.80 and 3,089,311.55

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Solution

The fourth proportional to 5,702,780.65, 7,869,854.80 and 3,089,311.55 is: 4,263,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,780.65 : 7,869,854.80 = 3,089,311.55 : x
  2. Step 2: Convert to fraction form
    5,702,780.65/7,869,854.80 = 3,089,311.55/x
  3. Step 3: Cross multiply
    5,702,780.65x = 7,869,854.80 × 3,089,311.55
  4. Step 4: Simplify right side
    5,702,780.65x = 24,312,433,324,487.26
  5. Step 5: Solve for x
    x = 24,312,433,324,487.26/5,702,780.65
  6. Step 6: Final answer
    x = 4,263,259.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.