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Finding the Fourth Proportional to 5,244.36, 7,866.52 and 1,781.52

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Solution

The fourth proportional to 5,244.36, 7,866.52 and 1,781.52 is: 2,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.36 : 7,866.52 = 1,781.52 : x
  2. Step 2: Convert to fraction form
    5,244.36/7,866.52 = 1,781.52/x
  3. Step 3: Cross multiply
    5,244.36x = 7,866.52 × 1,781.52
  4. Step 4: Simplify right side
    5,244.36x = 14,014,362.71
  5. Step 5: Solve for x
    x = 14,014,362.71/5,244.36
  6. Step 6: Final answer
    x = 2,672.27

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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.