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Finding the Fourth Proportional to 3,758.30, 5,182.03 and 3,011.66

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Solution

The fourth proportional to 3,758.30, 5,182.03 and 3,011.66 is: 4,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.30 : 5,182.03 = 3,011.66 : x
  2. Step 2: Convert to fraction form
    3,758.30/5,182.03 = 3,011.66/x
  3. Step 3: Cross multiply
    3,758.30x = 5,182.03 × 3,011.66
  4. Step 4: Simplify right side
    3,758.30x = 15,606,512.47
  5. Step 5: Solve for x
    x = 15,606,512.47/3,758.30
  6. Step 6: Final answer
    x = 4,152.55

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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.