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Finding the Fourth Proportional to 5,959.08, 8,215.50 and 5,116.14

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Solution

The fourth proportional to 5,959.08, 8,215.50 and 5,116.14 is: 7,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.08 : 8,215.50 = 5,116.14 : x
  2. Step 2: Convert to fraction form
    5,959.08/8,215.50 = 5,116.14/x
  3. Step 3: Cross multiply
    5,959.08x = 8,215.50 × 5,116.14
  4. Step 4: Simplify right side
    5,959.08x = 42,031,648.17
  5. Step 5: Solve for x
    x = 42,031,648.17/5,959.08
  6. Step 6: Final answer
    x = 7,053.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.