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Finding the Fourth Proportional to 3,658.69, 5,477.46 and 2,267.83

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Solution

The fourth proportional to 3,658.69, 5,477.46 and 2,267.83 is: 3,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.69 : 5,477.46 = 2,267.83 : x
  2. Step 2: Convert to fraction form
    3,658.69/5,477.46 = 2,267.83/x
  3. Step 3: Cross multiply
    3,658.69x = 5,477.46 × 2,267.83
  4. Step 4: Simplify right side
    3,658.69x = 12,421,948.11
  5. Step 5: Solve for x
    x = 12,421,948.11/3,658.69
  6. Step 6: Final answer
    x = 3,395.19

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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.