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Finding the Fourth Proportional to 3,756.65, 5,184.09 and 2,077.92

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Solution

The fourth proportional to 3,756.65, 5,184.09 and 2,077.92 is: 2,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.65 : 5,184.09 = 2,077.92 : x
  2. Step 2: Convert to fraction form
    3,756.65/5,184.09 = 2,077.92/x
  3. Step 3: Cross multiply
    3,756.65x = 5,184.09 × 2,077.92
  4. Step 4: Simplify right side
    3,756.65x = 10,772,124.29
  5. Step 5: Solve for x
    x = 10,772,124.29/3,756.65
  6. Step 6: Final answer
    x = 2,867.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.