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Finding the Fourth Proportional to 5,673.97, 7,829.64 and 3,155.94

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Solution

The fourth proportional to 5,673.97, 7,829.64 and 3,155.94 is: 4,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.97 : 7,829.64 = 3,155.94 : x
  2. Step 2: Convert to fraction form
    5,673.97/7,829.64 = 3,155.94/x
  3. Step 3: Cross multiply
    5,673.97x = 7,829.64 × 3,155.94
  4. Step 4: Simplify right side
    5,673.97x = 24,709,874.06
  5. Step 5: Solve for x
    x = 24,709,874.06/5,673.97
  6. Step 6: Final answer
    x = 4,354.95

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1.5x scale

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.