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Finding the Fourth Proportional to 5,267.82, 7,901.82 and 1,570.26

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Solution

The fourth proportional to 5,267.82, 7,901.82 and 1,570.26 is: 2,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.82 : 7,901.82 = 1,570.26 : x
  2. Step 2: Convert to fraction form
    5,267.82/7,901.82 = 1,570.26/x
  3. Step 3: Cross multiply
    5,267.82x = 7,901.82 × 1,570.26
  4. Step 4: Simplify right side
    5,267.82x = 12,407,911.87
  5. Step 5: Solve for x
    x = 12,407,911.87/5,267.82
  6. Step 6: Final answer
    x = 2,355.42

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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.