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Finding the Fourth Proportional to 3,386.52, 4,675.86 and 2,549.16

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Solution

The fourth proportional to 3,386.52, 4,675.86 and 2,549.16 is: 3,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.52 : 4,675.86 = 2,549.16 : x
  2. Step 2: Convert to fraction form
    3,386.52/4,675.86 = 2,549.16/x
  3. Step 3: Cross multiply
    3,386.52x = 4,675.86 × 2,549.16
  4. Step 4: Simplify right side
    3,386.52x = 11,919,515.28
  5. Step 5: Solve for x
    x = 11,919,515.28/3,386.52
  6. Step 6: Final answer
    x = 3,519.69

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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.