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Finding the Fourth Proportional to 5,566.68, 8,344.26 and 2,101.50

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Solution

The fourth proportional to 5,566.68, 8,344.26 and 2,101.50 is: 3,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.68 : 8,344.26 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    5,566.68/8,344.26 = 2,101.50/x
  3. Step 3: Cross multiply
    5,566.68x = 8,344.26 × 2,101.50
  4. Step 4: Simplify right side
    5,566.68x = 17,535,462.39
  5. Step 5: Solve for x
    x = 17,535,462.39/5,566.68
  6. Step 6: Final answer
    x = 3,150.08

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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.