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Finding the Fourth Proportional to 3,414.72, 4,712.64 and 2,017.92

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Solution

The fourth proportional to 3,414.72, 4,712.64 and 2,017.92 is: 2,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.72 : 4,712.64 = 2,017.92 : x
  2. Step 2: Convert to fraction form
    3,414.72/4,712.64 = 2,017.92/x
  3. Step 3: Cross multiply
    3,414.72x = 4,712.64 × 2,017.92
  4. Step 4: Simplify right side
    3,414.72x = 9,509,730.51
  5. Step 5: Solve for x
    x = 9,509,730.51/3,414.72
  6. Step 6: Final answer
    x = 2,784.92

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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.