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Finding the Fourth Proportional to 4,909.70, 6,775.32 and 2,671.55

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Solution

The fourth proportional to 4,909.70, 6,775.32 and 2,671.55 is: 3,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.70 : 6,775.32 = 2,671.55 : x
  2. Step 2: Convert to fraction form
    4,909.70/6,775.32 = 2,671.55/x
  3. Step 3: Cross multiply
    4,909.70x = 6,775.32 × 2,671.55
  4. Step 4: Simplify right side
    4,909.70x = 18,100,606.15
  5. Step 5: Solve for x
    x = 18,100,606.15/4,909.70
  6. Step 6: Final answer
    x = 3,686.70

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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.