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Finding the Fourth Proportional to 4,361.70, 6,538.95 and 4,117.18

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Solution

The fourth proportional to 4,361.70, 6,538.95 and 4,117.18 is: 6,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.70 : 6,538.95 = 4,117.18 : x
  2. Step 2: Convert to fraction form
    4,361.70/6,538.95 = 4,117.18/x
  3. Step 3: Cross multiply
    4,361.70x = 6,538.95 × 4,117.18
  4. Step 4: Simplify right side
    4,361.70x = 26,922,034.16
  5. Step 5: Solve for x
    x = 26,922,034.16/4,361.70
  6. Step 6: Final answer
    x = 6,172.37

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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.