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Finding the Fourth Proportional to 4,335.17, 6,503.76 and 1,413.45

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Solution

The fourth proportional to 4,335.17, 6,503.76 and 1,413.45 is: 2,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.17 : 6,503.76 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    4,335.17/6,503.76 = 1,413.45/x
  3. Step 3: Cross multiply
    4,335.17x = 6,503.76 × 1,413.45
  4. Step 4: Simplify right side
    4,335.17x = 9,192,739.57
  5. Step 5: Solve for x
    x = 9,192,739.57/4,335.17
  6. Step 6: Final answer
    x = 2,120.51

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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.