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Finding the Fourth Proportional to 4,983.09, 7,472.88 and 1,472.16

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Solution

The fourth proportional to 4,983.09, 7,472.88 and 1,472.16 is: 2,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.09 : 7,472.88 = 1,472.16 : x
  2. Step 2: Convert to fraction form
    4,983.09/7,472.88 = 1,472.16/x
  3. Step 3: Cross multiply
    4,983.09x = 7,472.88 × 1,472.16
  4. Step 4: Simplify right side
    4,983.09x = 11,001,275.02
  5. Step 5: Solve for x
    x = 11,001,275.02/4,983.09
  6. Step 6: Final answer
    x = 2,207.72

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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.