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Finding the Fourth Proportional to 5,104.88, 7,647.72 and 4,310

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Solution

The fourth proportional to 5,104.88, 7,647.72 and 4,310 is: 6,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.88 : 7,647.72 = 4,310 : x
  2. Step 2: Convert to fraction form
    5,104.88/7,647.72 = 4,310/x
  3. Step 3: Cross multiply
    5,104.88x = 7,647.72 × 4,310
  4. Step 4: Simplify right side
    5,104.88x = 32,961,673.20
  5. Step 5: Solve for x
    x = 32,961,673.20/5,104.88
  6. Step 6: Final answer
    x = 6,456.89

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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.