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Finding the Fourth Proportional to 4,251.69, 5,870.19 and 3,802.16

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Solution

The fourth proportional to 4,251.69, 5,870.19 and 3,802.16 is: 5,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.69 : 5,870.19 = 3,802.16 : x
  2. Step 2: Convert to fraction form
    4,251.69/5,870.19 = 3,802.16/x
  3. Step 3: Cross multiply
    4,251.69x = 5,870.19 × 3,802.16
  4. Step 4: Simplify right side
    4,251.69x = 22,319,430.54
  5. Step 5: Solve for x
    x = 22,319,430.54/4,251.69
  6. Step 6: Final answer
    x = 5,249.54

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