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Finding the Fourth Proportional to 3,689.67, 5,533.82 and 1,056.61

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Solution

The fourth proportional to 3,689.67, 5,533.82 and 1,056.61 is: 1,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.67 : 5,533.82 = 1,056.61 : x
  2. Step 2: Convert to fraction form
    3,689.67/5,533.82 = 1,056.61/x
  3. Step 3: Cross multiply
    3,689.67x = 5,533.82 × 1,056.61
  4. Step 4: Simplify right side
    3,689.67x = 5,847,095.15
  5. Step 5: Solve for x
    x = 5,847,095.15/3,689.67
  6. Step 6: Final answer
    x = 1,584.72

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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.