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Finding the Fourth Proportional to 5,077.79, 7,595.62 and 4,766.75

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Solution

The fourth proportional to 5,077.79, 7,595.62 and 4,766.75 is: 7,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.79 : 7,595.62 = 4,766.75 : x
  2. Step 2: Convert to fraction form
    5,077.79/7,595.62 = 4,766.75/x
  3. Step 3: Cross multiply
    5,077.79x = 7,595.62 × 4,766.75
  4. Step 4: Simplify right side
    5,077.79x = 36,206,421.64
  5. Step 5: Solve for x
    x = 36,206,421.64/5,077.79
  6. Step 6: Final answer
    x = 7,130.35

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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.