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Finding the Fourth Proportional to 4,438.66, 6,654.86 and 1,972.14

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Solution

The fourth proportional to 4,438.66, 6,654.86 and 1,972.14 is: 2,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.66 : 6,654.86 = 1,972.14 : x
  2. Step 2: Convert to fraction form
    4,438.66/6,654.86 = 1,972.14/x
  3. Step 3: Cross multiply
    4,438.66x = 6,654.86 × 1,972.14
  4. Step 4: Simplify right side
    4,438.66x = 13,124,315.60
  5. Step 5: Solve for x
    x = 13,124,315.60/4,438.66
  6. Step 6: Final answer
    x = 2,956.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.