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Finding the Fourth Proportional to 4,972.68, 7,456.12 and 2,047.48

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Solution

The fourth proportional to 4,972.68, 7,456.12 and 2,047.48 is: 3,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.68 : 7,456.12 = 2,047.48 : x
  2. Step 2: Convert to fraction form
    4,972.68/7,456.12 = 2,047.48/x
  3. Step 3: Cross multiply
    4,972.68x = 7,456.12 × 2,047.48
  4. Step 4: Simplify right side
    4,972.68x = 15,266,256.58
  5. Step 5: Solve for x
    x = 15,266,256.58/4,972.68
  6. Step 6: Final answer
    x = 3,070.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.