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Finding the Fourth Proportional to 5,872.34, 8,802.59 and 3,682.61

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Solution

The fourth proportional to 5,872.34, 8,802.59 and 3,682.61 is: 5,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.34 : 8,802.59 = 3,682.61 : x
  2. Step 2: Convert to fraction form
    5,872.34/8,802.59 = 3,682.61/x
  3. Step 3: Cross multiply
    5,872.34x = 8,802.59 × 3,682.61
  4. Step 4: Simplify right side
    5,872.34x = 32,416,443.53
  5. Step 5: Solve for x
    x = 32,416,443.53/5,872.34
  6. Step 6: Final answer
    x = 5,520.20

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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.