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Finding the Fourth Proportional to 5,109.71, 7,661.94 and 1,987.32

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Solution

The fourth proportional to 5,109.71, 7,661.94 and 1,987.32 is: 2,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.71 : 7,661.94 = 1,987.32 : x
  2. Step 2: Convert to fraction form
    5,109.71/7,661.94 = 1,987.32/x
  3. Step 3: Cross multiply
    5,109.71x = 7,661.94 × 1,987.32
  4. Step 4: Simplify right side
    5,109.71x = 15,226,726.60
  5. Step 5: Solve for x
    x = 15,226,726.60/5,109.71
  6. Step 6: Final answer
    x = 2,979.96

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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.