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Finding the Fourth Proportional to 5,868.32, 8,098.23 and 3,215.72

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Solution

The fourth proportional to 5,868.32, 8,098.23 and 3,215.72 is: 4,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.32 : 8,098.23 = 3,215.72 : x
  2. Step 2: Convert to fraction form
    5,868.32/8,098.23 = 3,215.72/x
  3. Step 3: Cross multiply
    5,868.32x = 8,098.23 × 3,215.72
  4. Step 4: Simplify right side
    5,868.32x = 26,041,608.84
  5. Step 5: Solve for x
    x = 26,041,608.84/5,868.32
  6. Step 6: Final answer
    x = 4,437.66

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