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Finding the Fourth Proportional to 6,410.88, 9,609.48 and 2,900.52

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Solution

The fourth proportional to 6,410.88, 9,609.48 and 2,900.52 is: 4,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.88 : 9,609.48 = 2,900.52 : x
  2. Step 2: Convert to fraction form
    6,410.88/9,609.48 = 2,900.52/x
  3. Step 3: Cross multiply
    6,410.88x = 9,609.48 × 2,900.52
  4. Step 4: Simplify right side
    6,410.88x = 27,872,488.93
  5. Step 5: Solve for x
    x = 27,872,488.93/6,410.88
  6. Step 6: Final answer
    x = 4,347.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.