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Finding the Fourth Proportional to 4,616.16, 6,924.21 and 1,153.41

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Solution

The fourth proportional to 4,616.16, 6,924.21 and 1,153.41 is: 1,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.16 : 6,924.21 = 1,153.41 : x
  2. Step 2: Convert to fraction form
    4,616.16/6,924.21 = 1,153.41/x
  3. Step 3: Cross multiply
    4,616.16x = 6,924.21 × 1,153.41
  4. Step 4: Simplify right side
    4,616.16x = 7,986,453.06
  5. Step 5: Solve for x
    x = 7,986,453.06/4,616.16
  6. Step 6: Final answer
    x = 1,730.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.