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Finding the Fourth Proportional to 6,323.25, 8,726.10 and 3,528.75

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Solution

The fourth proportional to 6,323.25, 8,726.10 and 3,528.75 is: 4,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.25 : 8,726.10 = 3,528.75 : x
  2. Step 2: Convert to fraction form
    6,323.25/8,726.10 = 3,528.75/x
  3. Step 3: Cross multiply
    6,323.25x = 8,726.10 × 3,528.75
  4. Step 4: Simplify right side
    6,323.25x = 30,792,225.38
  5. Step 5: Solve for x
    x = 30,792,225.38/6,323.25
  6. Step 6: Final answer
    x = 4,869.68

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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.