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Finding the Fourth Proportional to 2,806.72, 3,873.28 and 1,547.84

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Solution

The fourth proportional to 2,806.72, 3,873.28 and 1,547.84 is: 2,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.72 : 3,873.28 = 1,547.84 : x
  2. Step 2: Convert to fraction form
    2,806.72/3,873.28 = 1,547.84/x
  3. Step 3: Cross multiply
    2,806.72x = 3,873.28 × 1,547.84
  4. Step 4: Simplify right side
    2,806.72x = 5,995,217.72
  5. Step 5: Solve for x
    x = 5,995,217.72/2,806.72
  6. Step 6: Final answer
    x = 2,136.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.