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Finding the Fourth Proportional to 4,473.72, 6,174.27 and 2,585.61

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Solution

The fourth proportional to 4,473.72, 6,174.27 and 2,585.61 is: 3,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.72 : 6,174.27 = 2,585.61 : x
  2. Step 2: Convert to fraction form
    4,473.72/6,174.27 = 2,585.61/x
  3. Step 3: Cross multiply
    4,473.72x = 6,174.27 × 2,585.61
  4. Step 4: Simplify right side
    4,473.72x = 15,964,254.25
  5. Step 5: Solve for x
    x = 15,964,254.25/4,473.72
  6. Step 6: Final answer
    x = 3,568.45

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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.