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Finding the Fourth Proportional to 5,269.60, 7,902.06 and 1,937.86

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Solution

The fourth proportional to 5,269.60, 7,902.06 and 1,937.86 is: 2,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.60 : 7,902.06 = 1,937.86 : x
  2. Step 2: Convert to fraction form
    5,269.60/7,902.06 = 1,937.86/x
  3. Step 3: Cross multiply
    5,269.60x = 7,902.06 × 1,937.86
  4. Step 4: Simplify right side
    5,269.60x = 15,313,085.99
  5. Step 5: Solve for x
    x = 15,313,085.99/5,269.60
  6. Step 6: Final answer
    x = 2,905.93

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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.