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Finding the Fourth Proportional to 4,506.88, 6,761.32 and 1,387.16

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Solution

The fourth proportional to 4,506.88, 6,761.32 and 1,387.16 is: 2,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.88 : 6,761.32 = 1,387.16 : x
  2. Step 2: Convert to fraction form
    4,506.88/6,761.32 = 1,387.16/x
  3. Step 3: Cross multiply
    4,506.88x = 6,761.32 × 1,387.16
  4. Step 4: Simplify right side
    4,506.88x = 9,379,066.57
  5. Step 5: Solve for x
    x = 9,379,066.57/4,506.88
  6. Step 6: Final answer
    x = 2,081.06

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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.