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Finding the Fourth Proportional to 5,266.39, 7,902.35 and 2,148.70

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Solution

The fourth proportional to 5,266.39, 7,902.35 and 2,148.70 is: 3,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.39 : 7,902.35 = 2,148.70 : x
  2. Step 2: Convert to fraction form
    5,266.39/7,902.35 = 2,148.70/x
  3. Step 3: Cross multiply
    5,266.39x = 7,902.35 × 2,148.70
  4. Step 4: Simplify right side
    5,266.39x = 16,979,779.45
  5. Step 5: Solve for x
    x = 16,979,779.45/5,266.39
  6. Step 6: Final answer
    x = 3,224.18

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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.