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Finding the Fourth Proportional to 3,715.52, 5,595.34 and 3,234.40

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Solution

The fourth proportional to 3,715.52, 5,595.34 and 3,234.40 is: 4,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.52 : 5,595.34 = 3,234.40 : x
  2. Step 2: Convert to fraction form
    3,715.52/5,595.34 = 3,234.40/x
  3. Step 3: Cross multiply
    3,715.52x = 5,595.34 × 3,234.40
  4. Step 4: Simplify right side
    3,715.52x = 18,097,567.70
  5. Step 5: Solve for x
    x = 18,097,567.70/3,715.52
  6. Step 6: Final answer
    x = 4,870.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.