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Finding the Fourth Proportional to 5,442.59, 7,502.60 and 4,261.61

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Solution

The fourth proportional to 5,442.59, 7,502.60 and 4,261.61 is: 5,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.59 : 7,502.60 = 4,261.61 : x
  2. Step 2: Convert to fraction form
    5,442.59/7,502.60 = 4,261.61/x
  3. Step 3: Cross multiply
    5,442.59x = 7,502.60 × 4,261.61
  4. Step 4: Simplify right side
    5,442.59x = 31,973,096.36
  5. Step 5: Solve for x
    x = 31,973,096.36/5,442.59
  6. Step 6: Final answer
    x = 5,874.62

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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.