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Finding the Fourth Proportional to 5,298.65, 7,313.46 and 3,061.82

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Solution

The fourth proportional to 5,298.65, 7,313.46 and 3,061.82 is: 4,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.65 : 7,313.46 = 3,061.82 : x
  2. Step 2: Convert to fraction form
    5,298.65/7,313.46 = 3,061.82/x
  3. Step 3: Cross multiply
    5,298.65x = 7,313.46 × 3,061.82
  4. Step 4: Simplify right side
    5,298.65x = 22,392,516.38
  5. Step 5: Solve for x
    x = 22,392,516.38/5,298.65
  6. Step 6: Final answer
    x = 4,226.08

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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.