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Finding the Fourth Proportional to 3,923.91, 5,415.03 and 2,155.47

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Solution

The fourth proportional to 3,923.91, 5,415.03 and 2,155.47 is: 2,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.91 : 5,415.03 = 2,155.47 : x
  2. Step 2: Convert to fraction form
    3,923.91/5,415.03 = 2,155.47/x
  3. Step 3: Cross multiply
    3,923.91x = 5,415.03 × 2,155.47
  4. Step 4: Simplify right side
    3,923.91x = 11,671,934.71
  5. Step 5: Solve for x
    x = 11,671,934.71/3,923.91
  6. Step 6: Final answer
    x = 2,974.57

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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.