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Finding the Fourth Proportional to 3,667.84, 5,502.44 and 1,476.76

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Solution

The fourth proportional to 3,667.84, 5,502.44 and 1,476.76 is: 2,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.84 : 5,502.44 = 1,476.76 : x
  2. Step 2: Convert to fraction form
    3,667.84/5,502.44 = 1,476.76/x
  3. Step 3: Cross multiply
    3,667.84x = 5,502.44 × 1,476.76
  4. Step 4: Simplify right side
    3,667.84x = 8,125,783.29
  5. Step 5: Solve for x
    x = 8,125,783.29/3,667.84
  6. Step 6: Final answer
    x = 2,215.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.