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Finding the Fourth Proportional to 5,162.34, 7,743.54 and 1,266.74

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Solution

The fourth proportional to 5,162.34, 7,743.54 and 1,266.74 is: 1,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.34 : 7,743.54 = 1,266.74 : x
  2. Step 2: Convert to fraction form
    5,162.34/7,743.54 = 1,266.74/x
  3. Step 3: Cross multiply
    5,162.34x = 7,743.54 × 1,266.74
  4. Step 4: Simplify right side
    5,162.34x = 9,809,045.53
  5. Step 5: Solve for x
    x = 9,809,045.53/5,162.34
  6. Step 6: Final answer
    x = 1,900.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.