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Finding the Fourth Proportional to 4,057.47, 6,084.65 and 1,864.65

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Solution

The fourth proportional to 4,057.47, 6,084.65 and 1,864.65 is: 2,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.47 : 6,084.65 = 1,864.65 : x
  2. Step 2: Convert to fraction form
    4,057.47/6,084.65 = 1,864.65/x
  3. Step 3: Cross multiply
    4,057.47x = 6,084.65 × 1,864.65
  4. Step 4: Simplify right side
    4,057.47x = 11,345,733.30
  5. Step 5: Solve for x
    x = 11,345,733.30/4,057.47
  6. Step 6: Final answer
    x = 2,796.26

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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.