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Finding the Fourth Proportional to 5,153.22, 7,730.39 and 1,642.40

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Solution

The fourth proportional to 5,153.22, 7,730.39 and 1,642.40 is: 2,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.22 : 7,730.39 = 1,642.40 : x
  2. Step 2: Convert to fraction form
    5,153.22/7,730.39 = 1,642.40/x
  3. Step 3: Cross multiply
    5,153.22x = 7,730.39 × 1,642.40
  4. Step 4: Simplify right side
    5,153.22x = 12,696,392.54
  5. Step 5: Solve for x
    x = 12,696,392.54/5,153.22
  6. Step 6: Final answer
    x = 2,463.78

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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.