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Finding the Fourth Proportional to 3,994.32, 5,983.24 and 2,345.88

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Solution

The fourth proportional to 3,994.32, 5,983.24 and 2,345.88 is: 3,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.32 : 5,983.24 = 2,345.88 : x
  2. Step 2: Convert to fraction form
    3,994.32/5,983.24 = 2,345.88/x
  3. Step 3: Cross multiply
    3,994.32x = 5,983.24 × 2,345.88
  4. Step 4: Simplify right side
    3,994.32x = 14,035,963.05
  5. Step 5: Solve for x
    x = 14,035,963.05/3,994.32
  6. Step 6: Final answer
    x = 3,513.98

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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.