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Finding the Fourth Proportional to 4,863.64, 6,707.86 and 3,092.20

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Solution

The fourth proportional to 4,863.64, 6,707.86 and 3,092.20 is: 4,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.64 : 6,707.86 = 3,092.20 : x
  2. Step 2: Convert to fraction form
    4,863.64/6,707.86 = 3,092.20/x
  3. Step 3: Cross multiply
    4,863.64x = 6,707.86 × 3,092.20
  4. Step 4: Simplify right side
    4,863.64x = 20,742,044.69
  5. Step 5: Solve for x
    x = 20,742,044.69/4,863.64
  6. Step 6: Final answer
    x = 4,264.72

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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.