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Finding the Fourth Proportional to 4,108.14, 6,162.19 and 1,030.14

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Solution

The fourth proportional to 4,108.14, 6,162.19 and 1,030.14 is: 1,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.14 : 6,162.19 = 1,030.14 : x
  2. Step 2: Convert to fraction form
    4,108.14/6,162.19 = 1,030.14/x
  3. Step 3: Cross multiply
    4,108.14x = 6,162.19 × 1,030.14
  4. Step 4: Simplify right side
    4,108.14x = 6,347,918.41
  5. Step 5: Solve for x
    x = 6,347,918.41/4,108.14
  6. Step 6: Final answer
    x = 1,545.20

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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.