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Finding the Fourth Proportional to 3,773.95, 5,661.91 and 1,434.00

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Solution

The fourth proportional to 3,773.95, 5,661.91 and 1,434.00 is: 2,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.95 : 5,661.91 = 1,434.00 : x
  2. Step 2: Convert to fraction form
    3,773.95/5,661.91 = 1,434.00/x
  3. Step 3: Cross multiply
    3,773.95x = 5,661.91 × 1,434.00
  4. Step 4: Simplify right side
    3,773.95x = 8,119,143.46
  5. Step 5: Solve for x
    x = 8,119,143.46/3,773.95
  6. Step 6: Final answer
    x = 2,151.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.