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Finding the Fourth Proportional to 5,541.60, 7,657.12 and 4,431.70

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Solution

The fourth proportional to 5,541.60, 7,657.12 and 4,431.70 is: 6,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.60 : 7,657.12 = 4,431.70 : x
  2. Step 2: Convert to fraction form
    5,541.60/7,657.12 = 4,431.70/x
  3. Step 3: Cross multiply
    5,541.60x = 7,657.12 × 4,431.70
  4. Step 4: Simplify right side
    5,541.60x = 33,934,058.70
  5. Step 5: Solve for x
    x = 33,934,058.70/5,541.60
  6. Step 6: Final answer
    x = 6,123.51

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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.