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Finding the Fourth Proportional to 5,872.88, 8,104.47 and 3,484.46

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Solution

The fourth proportional to 5,872.88, 8,104.47 and 3,484.46 is: 4,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.88 : 8,104.47 = 3,484.46 : x
  2. Step 2: Convert to fraction form
    5,872.88/8,104.47 = 3,484.46/x
  3. Step 3: Cross multiply
    5,872.88x = 8,104.47 × 3,484.46
  4. Step 4: Simplify right side
    5,872.88x = 28,239,701.54
  5. Step 5: Solve for x
    x = 28,239,701.54/5,872.88
  6. Step 6: Final answer
    x = 4,808.49

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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.