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Finding the Fourth Proportional to 4,670.66, 6,441.32 and 3,674.16

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Solution

The fourth proportional to 4,670.66, 6,441.32 and 3,674.16 is: 5,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.66 : 6,441.32 = 3,674.16 : x
  2. Step 2: Convert to fraction form
    4,670.66/6,441.32 = 3,674.16/x
  3. Step 3: Cross multiply
    4,670.66x = 6,441.32 × 3,674.16
  4. Step 4: Simplify right side
    4,670.66x = 23,666,449.48
  5. Step 5: Solve for x
    x = 23,666,449.48/4,670.66
  6. Step 6: Final answer
    x = 5,067.04

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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.