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Finding the Fourth Proportional to 3,587.71, 5,382.31 and 1,506.49

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Solution

The fourth proportional to 3,587.71, 5,382.31 and 1,506.49 is: 2,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.71 : 5,382.31 = 1,506.49 : x
  2. Step 2: Convert to fraction form
    3,587.71/5,382.31 = 1,506.49/x
  3. Step 3: Cross multiply
    3,587.71x = 5,382.31 × 1,506.49
  4. Step 4: Simplify right side
    3,587.71x = 8,108,405.88
  5. Step 5: Solve for x
    x = 8,108,405.88/3,587.71
  6. Step 6: Final answer
    x = 2,260.05

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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.