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Finding the Fourth Proportional to 3,362.65, 5,042.48 and 1,413.47

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Solution

The fourth proportional to 3,362.65, 5,042.48 and 1,413.47 is: 2,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.65 : 5,042.48 = 1,413.47 : x
  2. Step 2: Convert to fraction form
    3,362.65/5,042.48 = 1,413.47/x
  3. Step 3: Cross multiply
    3,362.65x = 5,042.48 × 1,413.47
  4. Step 4: Simplify right side
    3,362.65x = 7,127,399.74
  5. Step 5: Solve for x
    x = 7,127,399.74/3,362.65
  6. Step 6: Final answer
    x = 2,119.58

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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.