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Finding the Fourth Proportional to 4,358.64, 6,010.80 and 2,784

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Solution

The fourth proportional to 4,358.64, 6,010.80 and 2,784 is: 3,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.64 : 6,010.80 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,358.64/6,010.80 = 2,784/x
  3. Step 3: Cross multiply
    4,358.64x = 6,010.80 × 2,784
  4. Step 4: Simplify right side
    4,358.64x = 16,734,067.20
  5. Step 5: Solve for x
    x = 16,734,067.20/4,358.64
  6. Step 6: Final answer
    x = 3,839.29

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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.