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Finding the Fourth Proportional to 3,447.51, 5,162.09 and 2,354.01

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Solution

The fourth proportional to 3,447.51, 5,162.09 and 2,354.01 is: 3,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.51 : 5,162.09 = 2,354.01 : x
  2. Step 2: Convert to fraction form
    3,447.51/5,162.09 = 2,354.01/x
  3. Step 3: Cross multiply
    3,447.51x = 5,162.09 × 2,354.01
  4. Step 4: Simplify right side
    3,447.51x = 12,151,599.71
  5. Step 5: Solve for x
    x = 12,151,599.71/3,447.51
  6. Step 6: Final answer
    x = 3,524.75

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