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Finding the Fourth Proportional to 3,408.53, 4,704.12 and 2,291.81

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Solution

The fourth proportional to 3,408.53, 4,704.12 and 2,291.81 is: 3,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.53 : 4,704.12 = 2,291.81 : x
  2. Step 2: Convert to fraction form
    3,408.53/4,704.12 = 2,291.81/x
  3. Step 3: Cross multiply
    3,408.53x = 4,704.12 × 2,291.81
  4. Step 4: Simplify right side
    3,408.53x = 10,780,925.74
  5. Step 5: Solve for x
    x = 10,780,925.74/3,408.53
  6. Step 6: Final answer
    x = 3,162.93

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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.