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Finding the Fourth Proportional to 5,242.71, 7,866.80 and 2,125.02

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Solution

The fourth proportional to 5,242.71, 7,866.80 and 2,125.02 is: 3,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.71 : 7,866.80 = 2,125.02 : x
  2. Step 2: Convert to fraction form
    5,242.71/7,866.80 = 2,125.02/x
  3. Step 3: Cross multiply
    5,242.71x = 7,866.80 × 2,125.02
  4. Step 4: Simplify right side
    5,242.71x = 16,717,102.02
  5. Step 5: Solve for x
    x = 16,717,102.02/5,242.71
  6. Step 6: Final answer
    x = 3,188.64

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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.