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Finding the Fourth Proportional to 6,703.84, 9,251.36 and 3,719.87

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Solution

The fourth proportional to 6,703.84, 9,251.36 and 3,719.87 is: 5,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.84 : 9,251.36 = 3,719.87 : x
  2. Step 2: Convert to fraction form
    6,703.84/9,251.36 = 3,719.87/x
  3. Step 3: Cross multiply
    6,703.84x = 9,251.36 × 3,719.87
  4. Step 4: Simplify right side
    6,703.84x = 34,413,856.52
  5. Step 5: Solve for x
    x = 34,413,856.52/6,703.84
  6. Step 6: Final answer
    x = 5,133.45

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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.