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Finding the Fourth Proportional to 4,343.57, 6,514.07 and 1,877.79

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Solution

The fourth proportional to 4,343.57, 6,514.07 and 1,877.79 is: 2,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.57 : 6,514.07 = 1,877.79 : x
  2. Step 2: Convert to fraction form
    4,343.57/6,514.07 = 1,877.79/x
  3. Step 3: Cross multiply
    4,343.57x = 6,514.07 × 1,877.79
  4. Step 4: Simplify right side
    4,343.57x = 12,232,046.12
  5. Step 5: Solve for x
    x = 12,232,046.12/4,343.57
  6. Step 6: Final answer
    x = 2,816.13

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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.