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Finding the Fourth Proportional to 4,335.28, 6,503.96 and 1,413.58

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Solution

The fourth proportional to 4,335.28, 6,503.96 and 1,413.58 is: 2,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.28 : 6,503.96 = 1,413.58 : x
  2. Step 2: Convert to fraction form
    4,335.28/6,503.96 = 1,413.58/x
  3. Step 3: Cross multiply
    4,335.28x = 6,503.96 × 1,413.58
  4. Step 4: Simplify right side
    4,335.28x = 9,193,867.78
  5. Step 5: Solve for x
    x = 9,193,867.78/4,335.28
  6. Step 6: Final answer
    x = 2,120.71

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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.