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Finding the Fourth Proportional to 4,704.32, 7,053.78 and 1,416.44

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Solution

The fourth proportional to 4,704.32, 7,053.78 and 1,416.44 is: 2,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.32 : 7,053.78 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    4,704.32/7,053.78 = 1,416.44/x
  3. Step 3: Cross multiply
    4,704.32x = 7,053.78 × 1,416.44
  4. Step 4: Simplify right side
    4,704.32x = 9,991,256.14
  5. Step 5: Solve for x
    x = 9,991,256.14/4,704.32
  6. Step 6: Final answer
    x = 2,123.85

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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.