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Finding the Fourth Proportional to 5,085.57, 7,628.29 and 1,387.72

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Solution

The fourth proportional to 5,085.57, 7,628.29 and 1,387.72 is: 2,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.57 : 7,628.29 = 1,387.72 : x
  2. Step 2: Convert to fraction form
    5,085.57/7,628.29 = 1,387.72/x
  3. Step 3: Cross multiply
    5,085.57x = 7,628.29 × 1,387.72
  4. Step 4: Simplify right side
    5,085.57x = 10,585,930.60
  5. Step 5: Solve for x
    x = 10,585,930.60/5,085.57
  6. Step 6: Final answer
    x = 2,081.56

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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.