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Finding the Fourth Proportional to 5,310.45, 7,298.45 and 4,129.47

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Solution

The fourth proportional to 5,310.45, 7,298.45 and 4,129.47 is: 5,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.45 : 7,298.45 = 4,129.47 : x
  2. Step 2: Convert to fraction form
    5,310.45/7,298.45 = 4,129.47/x
  3. Step 3: Cross multiply
    5,310.45x = 7,298.45 × 4,129.47
  4. Step 4: Simplify right side
    5,310.45x = 30,138,709.67
  5. Step 5: Solve for x
    x = 30,138,709.67/5,310.45
  6. Step 6: Final answer
    x = 5,675.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.