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Finding the Fourth Proportional to 3,412.62, 4,712.34 and 2,155.86

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Solution

The fourth proportional to 3,412.62, 4,712.34 and 2,155.86 is: 2,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.62 : 4,712.34 = 2,155.86 : x
  2. Step 2: Convert to fraction form
    3,412.62/4,712.34 = 2,155.86/x
  3. Step 3: Cross multiply
    3,412.62x = 4,712.34 × 2,155.86
  4. Step 4: Simplify right side
    3,412.62x = 10,159,145.31
  5. Step 5: Solve for x
    x = 10,159,145.31/3,412.62
  6. Step 6: Final answer
    x = 2,976.93

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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.