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Finding the Fourth Proportional to 4,162.06, 5,742.16 and 2,670.81

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Solution

The fourth proportional to 4,162.06, 5,742.16 and 2,670.81 is: 3,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.06 : 5,742.16 = 2,670.81 : x
  2. Step 2: Convert to fraction form
    4,162.06/5,742.16 = 2,670.81/x
  3. Step 3: Cross multiply
    4,162.06x = 5,742.16 × 2,670.81
  4. Step 4: Simplify right side
    4,162.06x = 15,336,218.35
  5. Step 5: Solve for x
    x = 15,336,218.35/4,162.06
  6. Step 6: Final answer
    x = 3,684.77

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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.