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Finding the Fourth Proportional to 4,335.44, 6,502.46 and 1,413.74

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Solution

The fourth proportional to 4,335.44, 6,502.46 and 1,413.74 is: 2,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.44 : 6,502.46 = 1,413.74 : x
  2. Step 2: Convert to fraction form
    4,335.44/6,502.46 = 1,413.74/x
  3. Step 3: Cross multiply
    4,335.44x = 6,502.46 × 1,413.74
  4. Step 4: Simplify right side
    4,335.44x = 9,192,787.80
  5. Step 5: Solve for x
    x = 9,192,787.80/4,335.44
  6. Step 6: Final answer
    x = 2,120.38

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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.