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Finding the Fourth Proportional to 5,698.71, 7,864.09 and 3,713.00

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Solution

The fourth proportional to 5,698.71, 7,864.09 and 3,713.00 is: 5,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.71 : 7,864.09 = 3,713.00 : x
  2. Step 2: Convert to fraction form
    5,698.71/7,864.09 = 3,713.00/x
  3. Step 3: Cross multiply
    5,698.71x = 7,864.09 × 3,713.00
  4. Step 4: Simplify right side
    5,698.71x = 29,199,317.57
  5. Step 5: Solve for x
    x = 29,199,317.57/5,698.71
  6. Step 6: Final answer
    x = 5,123.85

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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.