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Finding the Fourth Proportional to 4,438.46, 6,656.78 and 2,097.47

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Solution

The fourth proportional to 4,438.46, 6,656.78 and 2,097.47 is: 3,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.46 : 6,656.78 = 2,097.47 : x
  2. Step 2: Convert to fraction form
    4,438.46/6,656.78 = 2,097.47/x
  3. Step 3: Cross multiply
    4,438.46x = 6,656.78 × 2,097.47
  4. Step 4: Simplify right side
    4,438.46x = 13,962,385.86
  5. Step 5: Solve for x
    x = 13,962,385.86/4,438.46
  6. Step 6: Final answer
    x = 3,145.77

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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.