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Finding the Fourth Proportional to 5,211.46, 7,148.99 and 4,929

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Solution

The fourth proportional to 5,211.46, 7,148.99 and 4,929 is: 6,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.46 : 7,148.99 = 4,929 : x
  2. Step 2: Convert to fraction form
    5,211.46/7,148.99 = 4,929/x
  3. Step 3: Cross multiply
    5,211.46x = 7,148.99 × 4,929
  4. Step 4: Simplify right side
    5,211.46x = 35,237,371.71
  5. Step 5: Solve for x
    x = 35,237,371.71/5,211.46
  6. Step 6: Final answer
    x = 6,761.52

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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.