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Finding the Fourth Proportional to 3,413.34, 4,711.01 and 3,257.52

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Solution

The fourth proportional to 3,413.34, 4,711.01 and 3,257.52 is: 4,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.34 : 4,711.01 = 3,257.52 : x
  2. Step 2: Convert to fraction form
    3,413.34/4,711.01 = 3,257.52/x
  3. Step 3: Cross multiply
    3,413.34x = 4,711.01 × 3,257.52
  4. Step 4: Simplify right side
    3,413.34x = 15,346,193.66
  5. Step 5: Solve for x
    x = 15,346,193.66/3,413.34
  6. Step 6: Final answer
    x = 4,495.95

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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.