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Finding the Fourth Proportional to 5,671.33, 7,823.91 and 3,312.43

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Solution

The fourth proportional to 5,671.33, 7,823.91 and 3,312.43 is: 4,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.33 : 7,823.91 = 3,312.43 : x
  2. Step 2: Convert to fraction form
    5,671.33/7,823.91 = 3,312.43/x
  3. Step 3: Cross multiply
    5,671.33x = 7,823.91 × 3,312.43
  4. Step 4: Simplify right side
    5,671.33x = 25,916,154.20
  5. Step 5: Solve for x
    x = 25,916,154.20/5,671.33
  6. Step 6: Final answer
    x = 4,569.68

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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.