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Finding the Fourth Proportional to 5,053.72, 6,972.66 and 3,283.72

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Solution

The fourth proportional to 5,053.72, 6,972.66 and 3,283.72 is: 4,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.72 : 6,972.66 = 3,283.72 : x
  2. Step 2: Convert to fraction form
    5,053.72/6,972.66 = 3,283.72/x
  3. Step 3: Cross multiply
    5,053.72x = 6,972.66 × 3,283.72
  4. Step 4: Simplify right side
    5,053.72x = 22,896,263.10
  5. Step 5: Solve for x
    x = 22,896,263.10/5,053.72
  6. Step 6: Final answer
    x = 4,530.58

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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.