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Finding the Fourth Proportional to 5,766.28, 7,948.16 and 5,008.12

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Solution

The fourth proportional to 5,766.28, 7,948.16 and 5,008.12 is: 6,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.28 : 7,948.16 = 5,008.12 : x
  2. Step 2: Convert to fraction form
    5,766.28/7,948.16 = 5,008.12/x
  3. Step 3: Cross multiply
    5,766.28x = 7,948.16 × 5,008.12
  4. Step 4: Simplify right side
    5,766.28x = 39,805,339.06
  5. Step 5: Solve for x
    x = 39,805,339.06/5,766.28
  6. Step 6: Final answer
    x = 6,903.12

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1.5x scale

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.