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Finding the Fourth Proportional to 5,667.68, 7,805.76 and 4,881.44

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Solution

The fourth proportional to 5,667.68, 7,805.76 and 4,881.44 is: 6,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.68 : 7,805.76 = 4,881.44 : x
  2. Step 2: Convert to fraction form
    5,667.68/7,805.76 = 4,881.44/x
  3. Step 3: Cross multiply
    5,667.68x = 7,805.76 × 4,881.44
  4. Step 4: Simplify right side
    5,667.68x = 38,103,349.09
  5. Step 5: Solve for x
    x = 38,103,349.09/5,667.68
  6. Step 6: Final answer
    x = 6,722.92

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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.