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Finding the Fourth Proportional to 4,756.22, 6,561.37 and 3,078.17

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Solution

The fourth proportional to 4,756.22, 6,561.37 and 3,078.17 is: 4,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.22 : 6,561.37 = 3,078.17 : x
  2. Step 2: Convert to fraction form
    4,756.22/6,561.37 = 3,078.17/x
  3. Step 3: Cross multiply
    4,756.22x = 6,561.37 × 3,078.17
  4. Step 4: Simplify right side
    4,756.22x = 20,196,964.10
  5. Step 5: Solve for x
    x = 20,196,964.10/4,756.22
  6. Step 6: Final answer
    x = 4,246.43

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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.