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Finding the Fourth Proportional to 5,169.74, 7,719.50 and 5,029.61

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Solution

The fourth proportional to 5,169.74, 7,719.50 and 5,029.61 is: 7,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.74 : 7,719.50 = 5,029.61 : x
  2. Step 2: Convert to fraction form
    5,169.74/7,719.50 = 5,029.61/x
  3. Step 3: Cross multiply
    5,169.74x = 7,719.50 × 5,029.61
  4. Step 4: Simplify right side
    5,169.74x = 38,826,010.65
  5. Step 5: Solve for x
    x = 38,826,010.65/5,169.74
  6. Step 6: Final answer
    x = 7,510.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.