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Finding the Fourth Proportional to 5,656.28, 7,798.49 and 4,043.12

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Solution

The fourth proportional to 5,656.28, 7,798.49 and 4,043.12 is: 5,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.28 : 7,798.49 = 4,043.12 : x
  2. Step 2: Convert to fraction form
    5,656.28/7,798.49 = 4,043.12/x
  3. Step 3: Cross multiply
    5,656.28x = 7,798.49 × 4,043.12
  4. Step 4: Simplify right side
    5,656.28x = 31,530,230.89
  5. Step 5: Solve for x
    x = 31,530,230.89/5,656.28
  6. Step 6: Final answer
    x = 5,574.38

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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.