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Finding the Fourth Proportional to 3,116.34, 4,297.20 and 3,070.38

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Solution

The fourth proportional to 3,116.34, 4,297.20 and 3,070.38 is: 4,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.34 : 4,297.20 = 3,070.38 : x
  2. Step 2: Convert to fraction form
    3,116.34/4,297.20 = 3,070.38/x
  3. Step 3: Cross multiply
    3,116.34x = 4,297.20 × 3,070.38
  4. Step 4: Simplify right side
    3,116.34x = 13,194,036.94
  5. Step 5: Solve for x
    x = 13,194,036.94/3,116.34
  6. Step 6: Final answer
    x = 4,233.82

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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.