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Finding the Fourth Proportional to 3,802.62, 5,242.10 and 2,475.84

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Solution

The fourth proportional to 3,802.62, 5,242.10 and 2,475.84 is: 3,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.62 : 5,242.10 = 2,475.84 : x
  2. Step 2: Convert to fraction form
    3,802.62/5,242.10 = 2,475.84/x
  3. Step 3: Cross multiply
    3,802.62x = 5,242.10 × 2,475.84
  4. Step 4: Simplify right side
    3,802.62x = 12,978,600.86
  5. Step 5: Solve for x
    x = 12,978,600.86/3,802.62
  6. Step 6: Final answer
    x = 3,413.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.