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Finding the Fourth Proportional to 3,854.02, 5,750.74 and 3,618.91

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Solution

The fourth proportional to 3,854.02, 5,750.74 and 3,618.91 is: 5,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.02 : 5,750.74 = 3,618.91 : x
  2. Step 2: Convert to fraction form
    3,854.02/5,750.74 = 3,618.91/x
  3. Step 3: Cross multiply
    3,854.02x = 5,750.74 × 3,618.91
  4. Step 4: Simplify right side
    3,854.02x = 20,811,410.49
  5. Step 5: Solve for x
    x = 20,811,410.49/3,854.02
  6. Step 6: Final answer
    x = 5,399.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.