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Finding the Fourth Proportional to 4,737.17, 7,106.22 and 2,272.68

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Solution

The fourth proportional to 4,737.17, 7,106.22 and 2,272.68 is: 3,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.17 : 7,106.22 = 2,272.68 : x
  2. Step 2: Convert to fraction form
    4,737.17/7,106.22 = 2,272.68/x
  3. Step 3: Cross multiply
    4,737.17x = 7,106.22 × 2,272.68
  4. Step 4: Simplify right side
    4,737.17x = 16,150,164.07
  5. Step 5: Solve for x
    x = 16,150,164.07/4,737.17
  6. Step 6: Final answer
    x = 3,409.25

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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.