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Finding the Fourth Proportional to 5,371.96, 7,413.28 and 3,014.11

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Solution

The fourth proportional to 5,371.96, 7,413.28 and 3,014.11 is: 4,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.96 : 7,413.28 = 3,014.11 : x
  2. Step 2: Convert to fraction form
    5,371.96/7,413.28 = 3,014.11/x
  3. Step 3: Cross multiply
    5,371.96x = 7,413.28 × 3,014.11
  4. Step 4: Simplify right side
    5,371.96x = 22,344,441.38
  5. Step 5: Solve for x
    x = 22,344,441.38/5,371.96
  6. Step 6: Final answer
    x = 4,159.46

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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.