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Finding the Fourth Proportional to 4,562.39, 6,846.71 and 3,003.14

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Solution

The fourth proportional to 4,562.39, 6,846.71 and 3,003.14 is: 4,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.39 : 6,846.71 = 3,003.14 : x
  2. Step 2: Convert to fraction form
    4,562.39/6,846.71 = 3,003.14/x
  3. Step 3: Cross multiply
    4,562.39x = 6,846.71 × 3,003.14
  4. Step 4: Simplify right side
    4,562.39x = 20,561,579.42
  5. Step 5: Solve for x
    x = 20,561,579.42/4,562.39
  6. Step 6: Final answer
    x = 4,506.76

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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.