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Finding the Fourth Proportional to 5,846.22, 8,054.10 and 4,074.66

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Solution

The fourth proportional to 5,846.22, 8,054.10 and 4,074.66 is: 5,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.22 : 8,054.10 = 4,074.66 : x
  2. Step 2: Convert to fraction form
    5,846.22/8,054.10 = 4,074.66/x
  3. Step 3: Cross multiply
    5,846.22x = 8,054.10 × 4,074.66
  4. Step 4: Simplify right side
    5,846.22x = 32,817,719.11
  5. Step 5: Solve for x
    x = 32,817,719.11/5,846.22
  6. Step 6: Final answer
    x = 5,613.49

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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.