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Finding the Fourth Proportional to 4,305.12, 5,942 and 2,536.08

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Solution

The fourth proportional to 4,305.12, 5,942 and 2,536.08 is: 3,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.12 : 5,942 = 2,536.08 : x
  2. Step 2: Convert to fraction form
    4,305.12/5,942 = 2,536.08/x
  3. Step 3: Cross multiply
    4,305.12x = 5,942 × 2,536.08
  4. Step 4: Simplify right side
    4,305.12x = 15,069,387.36
  5. Step 5: Solve for x
    x = 15,069,387.36/4,305.12
  6. Step 6: Final answer
    x = 3,500.34

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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.