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Finding the Fourth Proportional to 5,743, 7,926.30 and 4,343.32

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Solution

The fourth proportional to 5,743, 7,926.30 and 4,343.32 is: 5,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743 : 7,926.30 = 4,343.32 : x
  2. Step 2: Convert to fraction form
    5,743/7,926.30 = 4,343.32/x
  3. Step 3: Cross multiply
    5,743x = 7,926.30 × 4,343.32
  4. Step 4: Simplify right side
    5,743x = 34,426,457.32
  5. Step 5: Solve for x
    x = 34,426,457.32/5,743
  6. Step 6: Final answer
    x = 5,994.51

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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.