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Finding the Fourth Proportional to 4,568.34, 6,840.90 and 3,103.02

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Solution

The fourth proportional to 4,568.34, 6,840.90 and 3,103.02 is: 4,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.34 : 6,840.90 = 3,103.02 : x
  2. Step 2: Convert to fraction form
    4,568.34/6,840.90 = 3,103.02/x
  3. Step 3: Cross multiply
    4,568.34x = 6,840.90 × 3,103.02
  4. Step 4: Simplify right side
    4,568.34x = 21,227,449.52
  5. Step 5: Solve for x
    x = 21,227,449.52/4,568.34
  6. Step 6: Final answer
    x = 4,646.64

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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.