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Finding the Fourth Proportional to 4,491.14, 6,737.80 and 1,413.14

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Solution

The fourth proportional to 4,491.14, 6,737.80 and 1,413.14 is: 2,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.14 : 6,737.80 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    4,491.14/6,737.80 = 1,413.14/x
  3. Step 3: Cross multiply
    4,491.14x = 6,737.80 × 1,413.14
  4. Step 4: Simplify right side
    4,491.14x = 9,521,454.69
  5. Step 5: Solve for x
    x = 9,521,454.69/4,491.14
  6. Step 6: Final answer
    x = 2,120.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.