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Finding the Fourth Proportional to 4,993.50, 7,495.20 and 2,653.52

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Solution

The fourth proportional to 4,993.50, 7,495.20 and 2,653.52 is: 3,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.50 : 7,495.20 = 2,653.52 : x
  2. Step 2: Convert to fraction form
    4,993.50/7,495.20 = 2,653.52/x
  3. Step 3: Cross multiply
    4,993.50x = 7,495.20 × 2,653.52
  4. Step 4: Simplify right side
    4,993.50x = 19,888,663.10
  5. Step 5: Solve for x
    x = 19,888,663.10/4,993.50
  6. Step 6: Final answer
    x = 3,982.91

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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.