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Finding the Fourth Proportional to 5,301.57, 7,951.35 and 2,015

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Solution

The fourth proportional to 5,301.57, 7,951.35 and 2,015 is: 3,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.57 : 7,951.35 = 2,015 : x
  2. Step 2: Convert to fraction form
    5,301.57/7,951.35 = 2,015/x
  3. Step 3: Cross multiply
    5,301.57x = 7,951.35 × 2,015
  4. Step 4: Simplify right side
    5,301.57x = 16,021,970.25
  5. Step 5: Solve for x
    x = 16,021,970.25/5,301.57
  6. Step 6: Final answer
    x = 3,022.12

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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.