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Finding the Fourth Proportional to 2,806.76, 3,873.20 and 1,547.82

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Solution

The fourth proportional to 2,806.76, 3,873.20 and 1,547.82 is: 2,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.76 : 3,873.20 = 1,547.82 : x
  2. Step 2: Convert to fraction form
    2,806.76/3,873.20 = 1,547.82/x
  3. Step 3: Cross multiply
    2,806.76x = 3,873.20 × 1,547.82
  4. Step 4: Simplify right side
    2,806.76x = 5,995,016.42
  5. Step 5: Solve for x
    x = 5,995,016.42/2,806.76
  6. Step 6: Final answer
    x = 2,135.92

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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.