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Finding the Fourth Proportional to 5,752.60, 7,935.78 and 3,657.40

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Solution

The fourth proportional to 5,752.60, 7,935.78 and 3,657.40 is: 5,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.60 : 7,935.78 = 3,657.40 : x
  2. Step 2: Convert to fraction form
    5,752.60/7,935.78 = 3,657.40/x
  3. Step 3: Cross multiply
    5,752.60x = 7,935.78 × 3,657.40
  4. Step 4: Simplify right side
    5,752.60x = 29,024,321.77
  5. Step 5: Solve for x
    x = 29,024,321.77/5,752.60
  6. Step 6: Final answer
    x = 5,045.43

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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.