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Finding the Fourth Proportional to 5,115.71, 7,678.44 and 2,652.30

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Solution

The fourth proportional to 5,115.71, 7,678.44 and 2,652.30 is: 3,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.71 : 7,678.44 = 2,652.30 : x
  2. Step 2: Convert to fraction form
    5,115.71/7,678.44 = 2,652.30/x
  3. Step 3: Cross multiply
    5,115.71x = 7,678.44 × 2,652.30
  4. Step 4: Simplify right side
    5,115.71x = 20,365,526.41
  5. Step 5: Solve for x
    x = 20,365,526.41/5,115.71
  6. Step 6: Final answer
    x = 3,980.98

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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.