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Finding the Fourth Proportional to 4,032.40, 6,041.40 and 3,413.20

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Solution

The fourth proportional to 4,032.40, 6,041.40 and 3,413.20 is: 5,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.40 : 6,041.40 = 3,413.20 : x
  2. Step 2: Convert to fraction form
    4,032.40/6,041.40 = 3,413.20/x
  3. Step 3: Cross multiply
    4,032.40x = 6,041.40 × 3,413.20
  4. Step 4: Simplify right side
    4,032.40x = 20,620,506.48
  5. Step 5: Solve for x
    x = 20,620,506.48/4,032.40
  6. Step 6: Final answer
    x = 5,113.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.