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Finding the Fourth Proportional to 3,386.64, 4,663.92 and 2,639.28

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Solution

The fourth proportional to 3,386.64, 4,663.92 and 2,639.28 is: 3,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.64 : 4,663.92 = 2,639.28 : x
  2. Step 2: Convert to fraction form
    3,386.64/4,663.92 = 2,639.28/x
  3. Step 3: Cross multiply
    3,386.64x = 4,663.92 × 2,639.28
  4. Step 4: Simplify right side
    3,386.64x = 12,309,390.78
  5. Step 5: Solve for x
    x = 12,309,390.78/3,386.64
  6. Step 6: Final answer
    x = 3,634.69

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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.