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Finding the Fourth Proportional to 3,413.28, 4,707.10 and 3,158.74

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Solution

The fourth proportional to 3,413.28, 4,707.10 and 3,158.74 is: 4,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.28 : 4,707.10 = 3,158.74 : x
  2. Step 2: Convert to fraction form
    3,413.28/4,707.10 = 3,158.74/x
  3. Step 3: Cross multiply
    3,413.28x = 4,707.10 × 3,158.74
  4. Step 4: Simplify right side
    3,413.28x = 14,868,505.05
  5. Step 5: Solve for x
    x = 14,868,505.05/3,413.28
  6. Step 6: Final answer
    x = 4,356.08

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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.