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Finding the Fourth Proportional to 4,065.86, 6,098.15 and 1,292.17

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Solution

The fourth proportional to 4,065.86, 6,098.15 and 1,292.17 is: 1,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.86 : 6,098.15 = 1,292.17 : x
  2. Step 2: Convert to fraction form
    4,065.86/6,098.15 = 1,292.17/x
  3. Step 3: Cross multiply
    4,065.86x = 6,098.15 × 1,292.17
  4. Step 4: Simplify right side
    4,065.86x = 7,879,846.49
  5. Step 5: Solve for x
    x = 7,879,846.49/4,065.86
  6. Step 6: Final answer
    x = 1,938.05

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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.