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Finding the Fourth Proportional to 4,671.44, 7,011.72 and 3,642.64

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Solution

The fourth proportional to 4,671.44, 7,011.72 and 3,642.64 is: 5,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.44 : 7,011.72 = 3,642.64 : x
  2. Step 2: Convert to fraction form
    4,671.44/7,011.72 = 3,642.64/x
  3. Step 3: Cross multiply
    4,671.44x = 7,011.72 × 3,642.64
  4. Step 4: Simplify right side
    4,671.44x = 25,541,171.74
  5. Step 5: Solve for x
    x = 25,541,171.74/4,671.44
  6. Step 6: Final answer
    x = 5,467.52

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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.