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Finding the Fourth Proportional to 5,203.04, 7,806.52 and 3,124.49

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Solution

The fourth proportional to 5,203.04, 7,806.52 and 3,124.49 is: 4,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.04 : 7,806.52 = 3,124.49 : x
  2. Step 2: Convert to fraction form
    5,203.04/7,806.52 = 3,124.49/x
  3. Step 3: Cross multiply
    5,203.04x = 7,806.52 × 3,124.49
  4. Step 4: Simplify right side
    5,203.04x = 24,391,346.83
  5. Step 5: Solve for x
    x = 24,391,346.83/5,203.04
  6. Step 6: Final answer
    x = 4,687.91

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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.