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Finding the Fourth Proportional to 4,569.57, 6,306.01 and 2,473.69

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Solution

The fourth proportional to 4,569.57, 6,306.01 and 2,473.69 is: 3,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.57 : 6,306.01 = 2,473.69 : x
  2. Step 2: Convert to fraction form
    4,569.57/6,306.01 = 2,473.69/x
  3. Step 3: Cross multiply
    4,569.57x = 6,306.01 × 2,473.69
  4. Step 4: Simplify right side
    4,569.57x = 15,599,113.88
  5. Step 5: Solve for x
    x = 15,599,113.88/4,569.57
  6. Step 6: Final answer
    x = 3,413.70

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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.