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Finding the Fourth Proportional to 4,149.82, 6,225.54 and 1,377.32

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Solution

The fourth proportional to 4,149.82, 6,225.54 and 1,377.32 is: 2,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.82 : 6,225.54 = 1,377.32 : x
  2. Step 2: Convert to fraction form
    4,149.82/6,225.54 = 1,377.32/x
  3. Step 3: Cross multiply
    4,149.82x = 6,225.54 × 1,377.32
  4. Step 4: Simplify right side
    4,149.82x = 8,574,560.75
  5. Step 5: Solve for x
    x = 8,574,560.75/4,149.82
  6. Step 6: Final answer
    x = 2,066.25

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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.