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Finding the Fourth Proportional to 5,868.54, 8,098.50 and 3,215.94

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Solution

The fourth proportional to 5,868.54, 8,098.50 and 3,215.94 is: 4,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.54 : 8,098.50 = 3,215.94 : x
  2. Step 2: Convert to fraction form
    5,868.54/8,098.50 = 3,215.94/x
  3. Step 3: Cross multiply
    5,868.54x = 8,098.50 × 3,215.94
  4. Step 4: Simplify right side
    5,868.54x = 26,044,290.09
  5. Step 5: Solve for x
    x = 26,044,290.09/5,868.54
  6. Step 6: Final answer
    x = 4,437.95

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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.