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Finding the Fourth Proportional to 3,658.30, 5,111.90 and 3,658.30

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Solution

The fourth proportional to 3,658.30, 5,111.90 and 3,658.30 is: 5,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.30 : 5,111.90 = 3,658.30 : x
  2. Step 2: Convert to fraction form
    3,658.30/5,111.90 = 3,658.30/x
  3. Step 3: Cross multiply
    3,658.30x = 5,111.90 × 3,658.30
  4. Step 4: Simplify right side
    3,658.30x = 18,700,863.77
  5. Step 5: Solve for x
    x = 18,700,863.77/3,658.30
  6. Step 6: Final answer
    x = 5,111.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.