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Finding the Fourth Proportional to 5,098.87, 7,036.50 and 2,830.27

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Solution

The fourth proportional to 5,098.87, 7,036.50 and 2,830.27 is: 3,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.87 : 7,036.50 = 2,830.27 : x
  2. Step 2: Convert to fraction form
    5,098.87/7,036.50 = 2,830.27/x
  3. Step 3: Cross multiply
    5,098.87x = 7,036.50 × 2,830.27
  4. Step 4: Simplify right side
    5,098.87x = 19,915,194.86
  5. Step 5: Solve for x
    x = 19,915,194.86/5,098.87
  6. Step 6: Final answer
    x = 3,905.81

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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.