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Finding the Fourth Proportional to 2,806.02, 3,872.10 and 1,547.10

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Solution

The fourth proportional to 2,806.02, 3,872.10 and 1,547.10 is: 2,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.02 : 3,872.10 = 1,547.10 : x
  2. Step 2: Convert to fraction form
    2,806.02/3,872.10 = 1,547.10/x
  3. Step 3: Cross multiply
    2,806.02x = 3,872.10 × 1,547.10
  4. Step 4: Simplify right side
    2,806.02x = 5,990,525.91
  5. Step 5: Solve for x
    x = 5,990,525.91/2,806.02
  6. Step 6: Final answer
    x = 2,134.88

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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.