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Finding the Fourth Proportional to 6,703.65, 9,251.08 and 3,719.54

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Solution

The fourth proportional to 6,703.65, 9,251.08 and 3,719.54 is: 5,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.65 : 9,251.08 = 3,719.54 : x
  2. Step 2: Convert to fraction form
    6,703.65/9,251.08 = 3,719.54/x
  3. Step 3: Cross multiply
    6,703.65x = 9,251.08 × 3,719.54
  4. Step 4: Simplify right side
    6,703.65x = 34,409,775.93
  5. Step 5: Solve for x
    x = 34,409,775.93/6,703.65
  6. Step 6: Final answer
    x = 5,132.99

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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.