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Finding the Fourth Proportional to 4,578.06, 6,311.62 and 3,636.98

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Solution

The fourth proportional to 4,578.06, 6,311.62 and 3,636.98 is: 5,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.06 : 6,311.62 = 3,636.98 : x
  2. Step 2: Convert to fraction form
    4,578.06/6,311.62 = 3,636.98/x
  3. Step 3: Cross multiply
    4,578.06x = 6,311.62 × 3,636.98
  4. Step 4: Simplify right side
    4,578.06x = 22,955,235.71
  5. Step 5: Solve for x
    x = 22,955,235.71/4,578.06
  6. Step 6: Final answer
    x = 5,014.18

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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.