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Finding the Fourth Proportional to 4,631.72, 6,397.99 and 4,413.02

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Solution

The fourth proportional to 4,631.72, 6,397.99 and 4,413.02 is: 6,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.72 : 6,397.99 = 4,413.02 : x
  2. Step 2: Convert to fraction form
    4,631.72/6,397.99 = 4,413.02/x
  3. Step 3: Cross multiply
    4,631.72x = 6,397.99 × 4,413.02
  4. Step 4: Simplify right side
    4,631.72x = 28,234,414.81
  5. Step 5: Solve for x
    x = 28,234,414.81/4,631.72
  6. Step 6: Final answer
    x = 6,095.89

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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.