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Finding the Fourth Proportional to 5,648.58, 8,461.89 and 2,728.94

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Solution

The fourth proportional to 5,648.58, 8,461.89 and 2,728.94 is: 4,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.58 : 8,461.89 = 2,728.94 : x
  2. Step 2: Convert to fraction form
    5,648.58/8,461.89 = 2,728.94/x
  3. Step 3: Cross multiply
    5,648.58x = 8,461.89 × 2,728.94
  4. Step 4: Simplify right side
    5,648.58x = 23,091,947.79
  5. Step 5: Solve for x
    x = 23,091,947.79/5,648.58
  6. Step 6: Final answer
    x = 4,088.10

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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.