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Finding the Fourth Proportional to 5,156.20, 7,734.42 and 1,260.64

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Solution

The fourth proportional to 5,156.20, 7,734.42 and 1,260.64 is: 1,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.20 : 7,734.42 = 1,260.64 : x
  2. Step 2: Convert to fraction form
    5,156.20/7,734.42 = 1,260.64/x
  3. Step 3: Cross multiply
    5,156.20x = 7,734.42 × 1,260.64
  4. Step 4: Simplify right side
    5,156.20x = 9,750,319.23
  5. Step 5: Solve for x
    x = 9,750,319.23/5,156.20
  6. Step 6: Final answer
    x = 1,890.99

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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.