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Finding the Fourth Proportional to 5,461.46, 7,537.07 and 3,071.48

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Solution

The fourth proportional to 5,461.46, 7,537.07 and 3,071.48 is: 4,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.46 : 7,537.07 = 3,071.48 : x
  2. Step 2: Convert to fraction form
    5,461.46/7,537.07 = 3,071.48/x
  3. Step 3: Cross multiply
    5,461.46x = 7,537.07 × 3,071.48
  4. Step 4: Simplify right side
    5,461.46x = 23,149,929.76
  5. Step 5: Solve for x
    x = 23,149,929.76/5,461.46
  6. Step 6: Final answer
    x = 4,238.78

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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.