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Finding the Fourth Proportional to 5,254.64, 7,876.40 and 2,652.08

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Solution

The fourth proportional to 5,254.64, 7,876.40 and 2,652.08 is: 3,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.64 : 7,876.40 = 2,652.08 : x
  2. Step 2: Convert to fraction form
    5,254.64/7,876.40 = 2,652.08/x
  3. Step 3: Cross multiply
    5,254.64x = 7,876.40 × 2,652.08
  4. Step 4: Simplify right side
    5,254.64x = 20,888,842.91
  5. Step 5: Solve for x
    x = 20,888,842.91/5,254.64
  6. Step 6: Final answer
    x = 3,975.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.