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Finding the Fourth Proportional to 5,465.70, 8,206.80 and 4,366.80

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Solution

The fourth proportional to 5,465.70, 8,206.80 and 4,366.80 is: 6,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.70 : 8,206.80 = 4,366.80 : x
  2. Step 2: Convert to fraction form
    5,465.70/8,206.80 = 4,366.80/x
  3. Step 3: Cross multiply
    5,465.70x = 8,206.80 × 4,366.80
  4. Step 4: Simplify right side
    5,465.70x = 35,837,454.24
  5. Step 5: Solve for x
    x = 35,837,454.24/5,465.70
  6. Step 6: Final answer
    x = 6,556.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.