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Finding the Fourth Proportional to 4,966.47, 6,854.10 and 3,078.42

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Solution

The fourth proportional to 4,966.47, 6,854.10 and 3,078.42 is: 4,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.47 : 6,854.10 = 3,078.42 : x
  2. Step 2: Convert to fraction form
    4,966.47/6,854.10 = 3,078.42/x
  3. Step 3: Cross multiply
    4,966.47x = 6,854.10 × 3,078.42
  4. Step 4: Simplify right side
    4,966.47x = 21,099,812.68
  5. Step 5: Solve for x
    x = 21,099,812.68/4,966.47
  6. Step 6: Final answer
    x = 4,248.45

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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.