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Finding the Fourth Proportional to 5,335.68, 7,363.24 and 3,097.65

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Solution

The fourth proportional to 5,335.68, 7,363.24 and 3,097.65 is: 4,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.68 : 7,363.24 = 3,097.65 : x
  2. Step 2: Convert to fraction form
    5,335.68/7,363.24 = 3,097.65/x
  3. Step 3: Cross multiply
    5,335.68x = 7,363.24 × 3,097.65
  4. Step 4: Simplify right side
    5,335.68x = 22,808,760.25
  5. Step 5: Solve for x
    x = 22,808,760.25/5,335.68
  6. Step 6: Final answer
    x = 4,274.76

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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.