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Finding the Fourth Proportional to 3,115.89, 4,673.61 and 1,035.23

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Solution

The fourth proportional to 3,115.89, 4,673.61 and 1,035.23 is: 1,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.89 : 4,673.61 = 1,035.23 : x
  2. Step 2: Convert to fraction form
    3,115.89/4,673.61 = 1,035.23/x
  3. Step 3: Cross multiply
    3,115.89x = 4,673.61 × 1,035.23
  4. Step 4: Simplify right side
    3,115.89x = 4,838,237.91
  5. Step 5: Solve for x
    x = 4,838,237.91/3,115.89
  6. Step 6: Final answer
    x = 1,552.76

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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.