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Finding the Fourth Proportional to 5,769.28, 7,952.30 and 5,011.12

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Solution

The fourth proportional to 5,769.28, 7,952.30 and 5,011.12 is: 6,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.28 : 7,952.30 = 5,011.12 : x
  2. Step 2: Convert to fraction form
    5,769.28/7,952.30 = 5,011.12/x
  3. Step 3: Cross multiply
    5,769.28x = 7,952.30 × 5,011.12
  4. Step 4: Simplify right side
    5,769.28x = 39,849,929.58
  5. Step 5: Solve for x
    x = 39,849,929.58/5,769.28
  6. Step 6: Final answer
    x = 6,907.26

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