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Finding the Fourth Proportional to 5,782.09, 7,979.28 and 3,129.50

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Solution

The fourth proportional to 5,782.09, 7,979.28 and 3,129.50 is: 4,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.09 : 7,979.28 = 3,129.50 : x
  2. Step 2: Convert to fraction form
    5,782.09/7,979.28 = 3,129.50/x
  3. Step 3: Cross multiply
    5,782.09x = 7,979.28 × 3,129.50
  4. Step 4: Simplify right side
    5,782.09x = 24,971,116.86
  5. Step 5: Solve for x
    x = 24,971,116.86/5,782.09
  6. Step 6: Final answer
    x = 4,318.70

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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.