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Finding the Fourth Proportional to 3,468.12, 4,785.74 and 1,975.74

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Solution

The fourth proportional to 3,468.12, 4,785.74 and 1,975.74 is: 2,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.12 : 4,785.74 = 1,975.74 : x
  2. Step 2: Convert to fraction form
    3,468.12/4,785.74 = 1,975.74/x
  3. Step 3: Cross multiply
    3,468.12x = 4,785.74 × 1,975.74
  4. Step 4: Simplify right side
    3,468.12x = 9,455,377.95
  5. Step 5: Solve for x
    x = 9,455,377.95/3,468.12
  6. Step 6: Final answer
    x = 2,726.37

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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.