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Finding the Fourth Proportional to 3,524.88, 4,828.47 and 3,486

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Solution

The fourth proportional to 3,524.88, 4,828.47 and 3,486 is: 4,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.88 : 4,828.47 = 3,486 : x
  2. Step 2: Convert to fraction form
    3,524.88/4,828.47 = 3,486/x
  3. Step 3: Cross multiply
    3,524.88x = 4,828.47 × 3,486
  4. Step 4: Simplify right side
    3,524.88x = 16,832,046.42
  5. Step 5: Solve for x
    x = 16,832,046.42/3,524.88
  6. Step 6: Final answer
    x = 4,775.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.