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Finding the Fourth Proportional to 4,046.25, 6,065.01 and 1,705.71

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Solution

The fourth proportional to 4,046.25, 6,065.01 and 1,705.71 is: 2,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.25 : 6,065.01 = 1,705.71 : x
  2. Step 2: Convert to fraction form
    4,046.25/6,065.01 = 1,705.71/x
  3. Step 3: Cross multiply
    4,046.25x = 6,065.01 × 1,705.71
  4. Step 4: Simplify right side
    4,046.25x = 10,345,148.21
  5. Step 5: Solve for x
    x = 10,345,148.21/4,046.25
  6. Step 6: Final answer
    x = 2,556.72

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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.