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Finding the Fourth Proportional to 7,040.42, 9,715.24 and 3,853.00

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Solution

The fourth proportional to 7,040.42, 9,715.24 and 3,853.00 is: 5,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.42 : 9,715.24 = 3,853.00 : x
  2. Step 2: Convert to fraction form
    7,040.42/9,715.24 = 3,853.00/x
  3. Step 3: Cross multiply
    7,040.42x = 9,715.24 × 3,853.00
  4. Step 4: Simplify right side
    7,040.42x = 37,432,836.68
  5. Step 5: Solve for x
    x = 37,432,836.68/7,040.42
  6. Step 6: Final answer
    x = 5,316.85

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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.