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Finding the Fourth Proportional to 4,007.57, 6,009.81 and 1,927.08

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Solution

The fourth proportional to 4,007.57, 6,009.81 and 1,927.08 is: 2,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.57 : 6,009.81 = 1,927.08 : x
  2. Step 2: Convert to fraction form
    4,007.57/6,009.81 = 1,927.08/x
  3. Step 3: Cross multiply
    4,007.57x = 6,009.81 × 1,927.08
  4. Step 4: Simplify right side
    4,007.57x = 11,581,384.65
  5. Step 5: Solve for x
    x = 11,581,384.65/4,007.57
  6. Step 6: Final answer
    x = 2,889.88

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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.