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Finding the Fourth Proportional to 5,419.19, 8,080.22 and 5,320.77

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Solution

The fourth proportional to 5,419.19, 8,080.22 and 5,320.77 is: 7,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.19 : 8,080.22 = 5,320.77 : x
  2. Step 2: Convert to fraction form
    5,419.19/8,080.22 = 5,320.77/x
  3. Step 3: Cross multiply
    5,419.19x = 8,080.22 × 5,320.77
  4. Step 4: Simplify right side
    5,419.19x = 42,992,965.57
  5. Step 5: Solve for x
    x = 42,992,965.57/5,419.19
  6. Step 6: Final answer
    x = 7,933.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.