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Finding the Fourth Proportional to 4,704.74, 7,055.67 and 3,253.22

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Solution

The fourth proportional to 4,704.74, 7,055.67 and 3,253.22 is: 4,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.74 : 7,055.67 = 3,253.22 : x
  2. Step 2: Convert to fraction form
    4,704.74/7,055.67 = 3,253.22/x
  3. Step 3: Cross multiply
    4,704.74x = 7,055.67 × 3,253.22
  4. Step 4: Simplify right side
    4,704.74x = 22,953,672.53
  5. Step 5: Solve for x
    x = 22,953,672.53/4,704.74
  6. Step 6: Final answer
    x = 4,878.84

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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.