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Finding the Fourth Proportional to 4,078.66, 6,113.78 and 1,612.48

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Solution

The fourth proportional to 4,078.66, 6,113.78 and 1,612.48 is: 2,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.66 : 6,113.78 = 1,612.48 : x
  2. Step 2: Convert to fraction form
    4,078.66/6,113.78 = 1,612.48/x
  3. Step 3: Cross multiply
    4,078.66x = 6,113.78 × 1,612.48
  4. Step 4: Simplify right side
    4,078.66x = 9,858,347.97
  5. Step 5: Solve for x
    x = 9,858,347.97/4,078.66
  6. Step 6: Final answer
    x = 2,417.06

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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.