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Finding the Fourth Proportional to 3,447.81, 4,758.08 and 1,876.01

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Solution

The fourth proportional to 3,447.81, 4,758.08 and 1,876.01 is: 2,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.81 : 4,758.08 = 1,876.01 : x
  2. Step 2: Convert to fraction form
    3,447.81/4,758.08 = 1,876.01/x
  3. Step 3: Cross multiply
    3,447.81x = 4,758.08 × 1,876.01
  4. Step 4: Simplify right side
    3,447.81x = 8,926,205.66
  5. Step 5: Solve for x
    x = 8,926,205.66/3,447.81
  6. Step 6: Final answer
    x = 2,588.95

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Why These Related Problems?

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