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Finding the Fourth Proportional to 6,444.68, 8,894.48 and 3,792.33

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Solution

The fourth proportional to 6,444.68, 8,894.48 and 3,792.33 is: 5,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.68 : 8,894.48 = 3,792.33 : x
  2. Step 2: Convert to fraction form
    6,444.68/8,894.48 = 3,792.33/x
  3. Step 3: Cross multiply
    6,444.68x = 8,894.48 × 3,792.33
  4. Step 4: Simplify right side
    6,444.68x = 33,730,784.38
  5. Step 5: Solve for x
    x = 33,730,784.38/6,444.68
  6. Step 6: Final answer
    x = 5,233.90

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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.