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Finding the Fourth Proportional to 3,524.73, 4,864.10 and 2,032.63

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Solution

The fourth proportional to 3,524.73, 4,864.10 and 2,032.63 is: 2,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.73 : 4,864.10 = 2,032.63 : x
  2. Step 2: Convert to fraction form
    3,524.73/4,864.10 = 2,032.63/x
  3. Step 3: Cross multiply
    3,524.73x = 4,864.10 × 2,032.63
  4. Step 4: Simplify right side
    3,524.73x = 9,886,905.42
  5. Step 5: Solve for x
    x = 9,886,905.42/3,524.73
  6. Step 6: Final answer
    x = 2,805.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.