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Finding the Fourth Proportional to 4,712.80, 6,503.66 and 2,616.92

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Solution

The fourth proportional to 4,712.80, 6,503.66 and 2,616.92 is: 3,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.80 : 6,503.66 = 2,616.92 : x
  2. Step 2: Convert to fraction form
    4,712.80/6,503.66 = 2,616.92/x
  3. Step 3: Cross multiply
    4,712.80x = 6,503.66 × 2,616.92
  4. Step 4: Simplify right side
    4,712.80x = 17,019,557.93
  5. Step 5: Solve for x
    x = 17,019,557.93/4,712.80
  6. Step 6: Final answer
    x = 3,611.35

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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.