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Finding the Fourth Proportional to 4,345.28, 5,994.92 and 2,854

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Solution

The fourth proportional to 4,345.28, 5,994.92 and 2,854 is: 3,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.28 : 5,994.92 = 2,854 : x
  2. Step 2: Convert to fraction form
    4,345.28/5,994.92 = 2,854/x
  3. Step 3: Cross multiply
    4,345.28x = 5,994.92 × 2,854
  4. Step 4: Simplify right side
    4,345.28x = 17,109,487.41
  5. Step 5: Solve for x
    x = 17,109,487.41/4,345.28
  6. Step 6: Final answer
    x = 3,937.49

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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.