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Finding the Fourth Proportional to 4,046.10, 6,065.52 and 1,448.42

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Solution

The fourth proportional to 4,046.10, 6,065.52 and 1,448.42 is: 2,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.10 : 6,065.52 = 1,448.42 : x
  2. Step 2: Convert to fraction form
    4,046.10/6,065.52 = 1,448.42/x
  3. Step 3: Cross multiply
    4,046.10x = 6,065.52 × 1,448.42
  4. Step 4: Simplify right side
    4,046.10x = 8,785,420.48
  5. Step 5: Solve for x
    x = 8,785,420.48/4,046.10
  6. Step 6: Final answer
    x = 2,171.33

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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.