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Finding the Fourth Proportional to 4,632.66, 6,394.59 and 3,690.18

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Solution

The fourth proportional to 4,632.66, 6,394.59 and 3,690.18 is: 5,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.66 : 6,394.59 = 3,690.18 : x
  2. Step 2: Convert to fraction form
    4,632.66/6,394.59 = 3,690.18/x
  3. Step 3: Cross multiply
    4,632.66x = 6,394.59 × 3,690.18
  4. Step 4: Simplify right side
    4,632.66x = 23,597,188.13
  5. Step 5: Solve for x
    x = 23,597,188.13/4,632.66
  6. Step 6: Final answer
    x = 5,093.66

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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.