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Finding the Fourth Proportional to 5,905.32, 8,859.18 and 2,442.57

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Solution

The fourth proportional to 5,905.32, 8,859.18 and 2,442.57 is: 3,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.32 : 8,859.18 = 2,442.57 : x
  2. Step 2: Convert to fraction form
    5,905.32/8,859.18 = 2,442.57/x
  3. Step 3: Cross multiply
    5,905.32x = 8,859.18 × 2,442.57
  4. Step 4: Simplify right side
    5,905.32x = 21,639,167.29
  5. Step 5: Solve for x
    x = 21,639,167.29/5,905.32
  6. Step 6: Final answer
    x = 3,664.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.