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Finding the Fourth Proportional to 4,275.78, 6,406.38 and 3,454.44

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Solution

The fourth proportional to 4,275.78, 6,406.38 and 3,454.44 is: 5,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.78 : 6,406.38 = 3,454.44 : x
  2. Step 2: Convert to fraction form
    4,275.78/6,406.38 = 3,454.44/x
  3. Step 3: Cross multiply
    4,275.78x = 6,406.38 × 3,454.44
  4. Step 4: Simplify right side
    4,275.78x = 22,130,455.33
  5. Step 5: Solve for x
    x = 22,130,455.33/4,275.78
  6. Step 6: Final answer
    x = 5,175.77

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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.