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Finding the Fourth Proportional to 5,673.62, 7,829.46 and 3,155.74

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Solution

The fourth proportional to 5,673.62, 7,829.46 and 3,155.74 is: 4,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.62 : 7,829.46 = 3,155.74 : x
  2. Step 2: Convert to fraction form
    5,673.62/7,829.46 = 3,155.74/x
  3. Step 3: Cross multiply
    5,673.62x = 7,829.46 × 3,155.74
  4. Step 4: Simplify right side
    5,673.62x = 24,707,720.53
  5. Step 5: Solve for x
    x = 24,707,720.53/5,673.62
  6. Step 6: Final answer
    x = 4,354.84

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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.