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Finding the Fourth Proportional to 4,847.34, 7,266.39 and 1,558.13

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Solution

The fourth proportional to 4,847.34, 7,266.39 and 1,558.13 is: 2,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.34 : 7,266.39 = 1,558.13 : x
  2. Step 2: Convert to fraction form
    4,847.34/7,266.39 = 1,558.13/x
  3. Step 3: Cross multiply
    4,847.34x = 7,266.39 × 1,558.13
  4. Step 4: Simplify right side
    4,847.34x = 11,321,938.08
  5. Step 5: Solve for x
    x = 11,321,938.08/4,847.34
  6. Step 6: Final answer
    x = 2,335.70

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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.