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Finding the Fourth Proportional to 5,129.28, 7,740.16 and 4,946.24

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Solution

The fourth proportional to 5,129.28, 7,740.16 and 4,946.24 is: 7,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.28 : 7,740.16 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    5,129.28/7,740.16 = 4,946.24/x
  3. Step 3: Cross multiply
    5,129.28x = 7,740.16 × 4,946.24
  4. Step 4: Simplify right side
    5,129.28x = 38,284,689.00
  5. Step 5: Solve for x
    x = 38,284,689.00/5,129.28
  6. Step 6: Final answer
    x = 7,463.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.