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Finding the Fourth Proportional to 5,657.79, 8,487.90 and 1,762.50

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Solution

The fourth proportional to 5,657.79, 8,487.90 and 1,762.50 is: 2,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.79 : 8,487.90 = 1,762.50 : x
  2. Step 2: Convert to fraction form
    5,657.79/8,487.90 = 1,762.50/x
  3. Step 3: Cross multiply
    5,657.79x = 8,487.90 × 1,762.50
  4. Step 4: Simplify right side
    5,657.79x = 14,959,923.75
  5. Step 5: Solve for x
    x = 14,959,923.75/5,657.79
  6. Step 6: Final answer
    x = 2,644.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.