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Finding the Fourth Proportional to 5,355.68, 8,022 and 5,296.64

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Solution

The fourth proportional to 5,355.68, 8,022 and 5,296.64 is: 7,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.68 : 8,022 = 5,296.64 : x
  2. Step 2: Convert to fraction form
    5,355.68/8,022 = 5,296.64/x
  3. Step 3: Cross multiply
    5,355.68x = 8,022 × 5,296.64
  4. Step 4: Simplify right side
    5,355.68x = 42,489,646.08
  5. Step 5: Solve for x
    x = 42,489,646.08/5,355.68
  6. Step 6: Final answer
    x = 7,933.57

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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.