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Finding the Fourth Proportional to 4,717.68, 7,081.31 and 1,946.01

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Solution

The fourth proportional to 4,717.68, 7,081.31 and 1,946.01 is: 2,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.68 : 7,081.31 = 1,946.01 : x
  2. Step 2: Convert to fraction form
    4,717.68/7,081.31 = 1,946.01/x
  3. Step 3: Cross multiply
    4,717.68x = 7,081.31 × 1,946.01
  4. Step 4: Simplify right side
    4,717.68x = 13,780,300.07
  5. Step 5: Solve for x
    x = 13,780,300.07/4,717.68
  6. Step 6: Final answer
    x = 2,920.99

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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.