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Finding the Fourth Proportional to 4,746.50, 6,550.14 and 2,758.22

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Solution

The fourth proportional to 4,746.50, 6,550.14 and 2,758.22 is: 3,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.50 : 6,550.14 = 2,758.22 : x
  2. Step 2: Convert to fraction form
    4,746.50/6,550.14 = 2,758.22/x
  3. Step 3: Cross multiply
    4,746.50x = 6,550.14 × 2,758.22
  4. Step 4: Simplify right side
    4,746.50x = 18,066,727.15
  5. Step 5: Solve for x
    x = 18,066,727.15/4,746.50
  6. Step 6: Final answer
    x = 3,806.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.