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Finding the Fourth Proportional to 3,658.06, 5,488.57 and 2,014.47

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Solution

The fourth proportional to 3,658.06, 5,488.57 and 2,014.47 is: 3,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.06 : 5,488.57 = 2,014.47 : x
  2. Step 2: Convert to fraction form
    3,658.06/5,488.57 = 2,014.47/x
  3. Step 3: Cross multiply
    3,658.06x = 5,488.57 × 2,014.47
  4. Step 4: Simplify right side
    3,658.06x = 11,056,532.17
  5. Step 5: Solve for x
    x = 11,056,532.17/3,658.06
  6. Step 6: Final answer
    x = 3,022.52

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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.