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Finding the Fourth Proportional to 3,085.57, 4,628.76 and 1,139.14

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Solution

The fourth proportional to 3,085.57, 4,628.76 and 1,139.14 is: 1,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.57 : 4,628.76 = 1,139.14 : x
  2. Step 2: Convert to fraction form
    3,085.57/4,628.76 = 1,139.14/x
  3. Step 3: Cross multiply
    3,085.57x = 4,628.76 × 1,139.14
  4. Step 4: Simplify right side
    3,085.57x = 5,272,805.67
  5. Step 5: Solve for x
    x = 5,272,805.67/3,085.57
  6. Step 6: Final answer
    x = 1,708.86

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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.