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Finding the Fourth Proportional to 5,717.00, 7,873.01 and 4,713.05

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Solution

The fourth proportional to 5,717.00, 7,873.01 and 4,713.05 is: 6,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.00 : 7,873.01 = 4,713.05 : x
  2. Step 2: Convert to fraction form
    5,717.00/7,873.01 = 4,713.05/x
  3. Step 3: Cross multiply
    5,717.00x = 7,873.01 × 4,713.05
  4. Step 4: Simplify right side
    5,717.00x = 37,105,826.85
  5. Step 5: Solve for x
    x = 37,105,826.85/5,717.00
  6. Step 6: Final answer
    x = 6,490.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.