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Finding the Fourth Proportional to 4,343.71, 5,994.30 and 2,354.32

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Solution

The fourth proportional to 4,343.71, 5,994.30 and 2,354.32 is: 3,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.71 : 5,994.30 = 2,354.32 : x
  2. Step 2: Convert to fraction form
    4,343.71/5,994.30 = 2,354.32/x
  3. Step 3: Cross multiply
    4,343.71x = 5,994.30 × 2,354.32
  4. Step 4: Simplify right side
    4,343.71x = 14,112,500.38
  5. Step 5: Solve for x
    x = 14,112,500.38/4,343.71
  6. Step 6: Final answer
    x = 3,248.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.