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Finding the Fourth Proportional to 4,242.65, 5,854.65 and 2,473.97

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Solution

The fourth proportional to 4,242.65, 5,854.65 and 2,473.97 is: 3,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.65 : 5,854.65 = 2,473.97 : x
  2. Step 2: Convert to fraction form
    4,242.65/5,854.65 = 2,473.97/x
  3. Step 3: Cross multiply
    4,242.65x = 5,854.65 × 2,473.97
  4. Step 4: Simplify right side
    4,242.65x = 14,484,228.46
  5. Step 5: Solve for x
    x = 14,484,228.46/4,242.65
  6. Step 6: Final answer
    x = 3,413.96

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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.