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Finding the Fourth Proportional to 4,713.12, 6,503.88 and 2,617.20

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Solution

The fourth proportional to 4,713.12, 6,503.88 and 2,617.20 is: 3,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.12 : 6,503.88 = 2,617.20 : x
  2. Step 2: Convert to fraction form
    4,713.12/6,503.88 = 2,617.20/x
  3. Step 3: Cross multiply
    4,713.12x = 6,503.88 × 2,617.20
  4. Step 4: Simplify right side
    4,713.12x = 17,021,954.74
  5. Step 5: Solve for x
    x = 17,021,954.74/4,713.12
  6. Step 6: Final answer
    x = 3,611.61

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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.