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Finding the Fourth Proportional to 4,772.64, 6,587.04 and 2,784.36

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Solution

The fourth proportional to 4,772.64, 6,587.04 and 2,784.36 is: 3,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.64 : 6,587.04 = 2,784.36 : x
  2. Step 2: Convert to fraction form
    4,772.64/6,587.04 = 2,784.36/x
  3. Step 3: Cross multiply
    4,772.64x = 6,587.04 × 2,784.36
  4. Step 4: Simplify right side
    4,772.64x = 18,340,690.69
  5. Step 5: Solve for x
    x = 18,340,690.69/4,772.64
  6. Step 6: Final answer
    x = 3,842.88

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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.