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Finding the Fourth Proportional to 5,667.59, 7,821.27 and 3,277.89

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Solution

The fourth proportional to 5,667.59, 7,821.27 and 3,277.89 is: 4,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.59 : 7,821.27 = 3,277.89 : x
  2. Step 2: Convert to fraction form
    5,667.59/7,821.27 = 3,277.89/x
  3. Step 3: Cross multiply
    5,667.59x = 7,821.27 × 3,277.89
  4. Step 4: Simplify right side
    5,667.59x = 25,637,262.72
  5. Step 5: Solve for x
    x = 25,637,262.72/5,667.59
  6. Step 6: Final answer
    x = 4,523.49

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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.