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Finding the Fourth Proportional to 5,538.24, 8,298 and 3,586.41

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Solution

The fourth proportional to 5,538.24, 8,298 and 3,586.41 is: 5,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.24 : 8,298 = 3,586.41 : x
  2. Step 2: Convert to fraction form
    5,538.24/8,298 = 3,586.41/x
  3. Step 3: Cross multiply
    5,538.24x = 8,298 × 3,586.41
  4. Step 4: Simplify right side
    5,538.24x = 29,760,030.18
  5. Step 5: Solve for x
    x = 29,760,030.18/5,538.24
  6. Step 6: Final answer
    x = 5,373.55

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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.