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Finding the Fourth Proportional to 5,384.59, 7,431.43 and 3,027.18

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Solution

The fourth proportional to 5,384.59, 7,431.43 and 3,027.18 is: 4,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.59 : 7,431.43 = 3,027.18 : x
  2. Step 2: Convert to fraction form
    5,384.59/7,431.43 = 3,027.18/x
  3. Step 3: Cross multiply
    5,384.59x = 7,431.43 × 3,027.18
  4. Step 4: Simplify right side
    5,384.59x = 22,496,261.13
  5. Step 5: Solve for x
    x = 22,496,261.13/5,384.59
  6. Step 6: Final answer
    x = 4,177.90

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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.