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Finding the Fourth Proportional to 3,512.84, 5,271.10 and 2,279.96

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Solution

The fourth proportional to 3,512.84, 5,271.10 and 2,279.96 is: 3,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.84 : 5,271.10 = 2,279.96 : x
  2. Step 2: Convert to fraction form
    3,512.84/5,271.10 = 2,279.96/x
  3. Step 3: Cross multiply
    3,512.84x = 5,271.10 × 2,279.96
  4. Step 4: Simplify right side
    3,512.84x = 12,017,897.16
  5. Step 5: Solve for x
    x = 12,017,897.16/3,512.84
  6. Step 6: Final answer
    x = 3,421.13

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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.