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Finding the Fourth Proportional to 3,802.14, 5,702.18 and 1,609.46

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Solution

The fourth proportional to 3,802.14, 5,702.18 and 1,609.46 is: 2,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.14 : 5,702.18 = 1,609.46 : x
  2. Step 2: Convert to fraction form
    3,802.14/5,702.18 = 1,609.46/x
  3. Step 3: Cross multiply
    3,802.14x = 5,702.18 × 1,609.46
  4. Step 4: Simplify right side
    3,802.14x = 9,177,430.62
  5. Step 5: Solve for x
    x = 9,177,430.62/3,802.14
  6. Step 6: Final answer
    x = 2,413.75

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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.