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Finding the Fourth Proportional to 5,077.04, 7,594.50 and 4,766

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Solution

The fourth proportional to 5,077.04, 7,594.50 and 4,766 is: 7,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.04 : 7,594.50 = 4,766 : x
  2. Step 2: Convert to fraction form
    5,077.04/7,594.50 = 4,766/x
  3. Step 3: Cross multiply
    5,077.04x = 7,594.50 × 4,766
  4. Step 4: Simplify right side
    5,077.04x = 36,195,387
  5. Step 5: Solve for x
    x = 36,195,387/5,077.04
  6. Step 6: Final answer
    x = 7,129.23

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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.