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Finding the Fourth Proportional to 4,548.64, 6,275.17 and 2,607.31

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Solution

The fourth proportional to 4,548.64, 6,275.17 and 2,607.31 is: 3,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.64 : 6,275.17 = 2,607.31 : x
  2. Step 2: Convert to fraction form
    4,548.64/6,275.17 = 2,607.31/x
  3. Step 3: Cross multiply
    4,548.64x = 6,275.17 × 2,607.31
  4. Step 4: Simplify right side
    4,548.64x = 16,361,313.49
  5. Step 5: Solve for x
    x = 16,361,313.49/4,548.64
  6. Step 6: Final answer
    x = 3,596.97

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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.