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Finding the Fourth Proportional to 4,304.34, 6,455.43 and 2,221.83

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Solution

The fourth proportional to 4,304.34, 6,455.43 and 2,221.83 is: 3,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.34 : 6,455.43 = 2,221.83 : x
  2. Step 2: Convert to fraction form
    4,304.34/6,455.43 = 2,221.83/x
  3. Step 3: Cross multiply
    4,304.34x = 6,455.43 × 2,221.83
  4. Step 4: Simplify right side
    4,304.34x = 14,342,868.04
  5. Step 5: Solve for x
    x = 14,342,868.04/4,304.34
  6. Step 6: Final answer
    x = 3,332.19

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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.