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Finding the Fourth Proportional to 5,765.17, 7,898.31 and 5,549.20

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Solution

The fourth proportional to 5,765.17, 7,898.31 and 5,549.20 is: 7,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.17 : 7,898.31 = 5,549.20 : x
  2. Step 2: Convert to fraction form
    5,765.17/7,898.31 = 5,549.20/x
  3. Step 3: Cross multiply
    5,765.17x = 7,898.31 × 5,549.20
  4. Step 4: Simplify right side
    5,765.17x = 43,829,304.32
  5. Step 5: Solve for x
    x = 43,829,304.32/5,765.17
  6. Step 6: Final answer
    x = 7,602.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.