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Finding the Fourth Proportional to 5,604.16, 8,413.68 and 4,787.68

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Solution

The fourth proportional to 5,604.16, 8,413.68 and 4,787.68 is: 7,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.16 : 8,413.68 = 4,787.68 : x
  2. Step 2: Convert to fraction form
    5,604.16/8,413.68 = 4,787.68/x
  3. Step 3: Cross multiply
    5,604.16x = 8,413.68 × 4,787.68
  4. Step 4: Simplify right side
    5,604.16x = 40,282,007.46
  5. Step 5: Solve for x
    x = 40,282,007.46/5,604.16
  6. Step 6: Final answer
    x = 7,187.88

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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.