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Finding the Fourth Proportional to 4,669.64, 6,450.20 and 3,488.64

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Solution

The fourth proportional to 4,669.64, 6,450.20 and 3,488.64 is: 4,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.64 : 6,450.20 = 3,488.64 : x
  2. Step 2: Convert to fraction form
    4,669.64/6,450.20 = 3,488.64/x
  3. Step 3: Cross multiply
    4,669.64x = 6,450.20 × 3,488.64
  4. Step 4: Simplify right side
    4,669.64x = 22,502,425.73
  5. Step 5: Solve for x
    x = 22,502,425.73/4,669.64
  6. Step 6: Final answer
    x = 4,818.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.