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Finding the Fourth Proportional to 5,474.94, 7,549.65 and 5,031.06

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Solution

The fourth proportional to 5,474.94, 7,549.65 and 5,031.06 is: 6,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.94 : 7,549.65 = 5,031.06 : x
  2. Step 2: Convert to fraction form
    5,474.94/7,549.65 = 5,031.06/x
  3. Step 3: Cross multiply
    5,474.94x = 7,549.65 × 5,031.06
  4. Step 4: Simplify right side
    5,474.94x = 37,982,742.13
  5. Step 5: Solve for x
    x = 37,982,742.13/5,474.94
  6. Step 6: Final answer
    x = 6,937.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.