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Finding the Fourth Proportional to 4,398.26, 6,066.06 and 3,406.22

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Solution

The fourth proportional to 4,398.26, 6,066.06 and 3,406.22 is: 4,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.26 : 6,066.06 = 3,406.22 : x
  2. Step 2: Convert to fraction form
    4,398.26/6,066.06 = 3,406.22/x
  3. Step 3: Cross multiply
    4,398.26x = 6,066.06 × 3,406.22
  4. Step 4: Simplify right side
    4,398.26x = 20,662,334.89
  5. Step 5: Solve for x
    x = 20,662,334.89/4,398.26
  6. Step 6: Final answer
    x = 4,697.84

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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.