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Finding the Fourth Proportional to 3,532.45, 4,877.54 and 2,413.43

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Solution

The fourth proportional to 3,532.45, 4,877.54 and 2,413.43 is: 3,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.45 : 4,877.54 = 2,413.43 : x
  2. Step 2: Convert to fraction form
    3,532.45/4,877.54 = 2,413.43/x
  3. Step 3: Cross multiply
    3,532.45x = 4,877.54 × 2,413.43
  4. Step 4: Simplify right side
    3,532.45x = 11,771,601.36
  5. Step 5: Solve for x
    x = 11,771,601.36/3,532.45
  6. Step 6: Final answer
    x = 3,332.42

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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.