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Finding the Fourth Proportional to 4,281.84, 6,413.06 and 2,304.02

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Solution

The fourth proportional to 4,281.84, 6,413.06 and 2,304.02 is: 3,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.84 : 6,413.06 = 2,304.02 : x
  2. Step 2: Convert to fraction form
    4,281.84/6,413.06 = 2,304.02/x
  3. Step 3: Cross multiply
    4,281.84x = 6,413.06 × 2,304.02
  4. Step 4: Simplify right side
    4,281.84x = 14,775,840.29
  5. Step 5: Solve for x
    x = 14,775,840.29/4,281.84
  6. Step 6: Final answer
    x = 3,450.82

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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.