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Finding the Fourth Proportional to 5,297.51, 7,944.94 and 2,178.39

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Solution

The fourth proportional to 5,297.51, 7,944.94 and 2,178.39 is: 3,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.51 : 7,944.94 = 2,178.39 : x
  2. Step 2: Convert to fraction form
    5,297.51/7,944.94 = 2,178.39/x
  3. Step 3: Cross multiply
    5,297.51x = 7,944.94 × 2,178.39
  4. Step 4: Simplify right side
    5,297.51x = 17,307,172.40
  5. Step 5: Solve for x
    x = 17,307,172.40/5,297.51
  6. Step 6: Final answer
    x = 3,267.04

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1.5x scale

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.