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Finding the Fourth Proportional to 4,343.06, 6,514.02 and 2,261.90

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Solution

The fourth proportional to 4,343.06, 6,514.02 and 2,261.90 is: 3,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.06 : 6,514.02 = 2,261.90 : x
  2. Step 2: Convert to fraction form
    4,343.06/6,514.02 = 2,261.90/x
  3. Step 3: Cross multiply
    4,343.06x = 6,514.02 × 2,261.90
  4. Step 4: Simplify right side
    4,343.06x = 14,734,061.84
  5. Step 5: Solve for x
    x = 14,734,061.84/4,343.06
  6. Step 6: Final answer
    x = 3,392.55

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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.