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Finding the Fourth Proportional to 4,704.70, 7,043.20 and 3,477.58

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Solution

The fourth proportional to 4,704.70, 7,043.20 and 3,477.58 is: 5,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.70 : 7,043.20 = 3,477.58 : x
  2. Step 2: Convert to fraction form
    4,704.70/7,043.20 = 3,477.58/x
  3. Step 3: Cross multiply
    4,704.70x = 7,043.20 × 3,477.58
  4. Step 4: Simplify right side
    4,704.70x = 24,493,291.46
  5. Step 5: Solve for x
    x = 24,493,291.46/4,704.70
  6. Step 6: Final answer
    x = 5,206.13

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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.