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Finding the Fourth Proportional to 5,315.56, 7,974.06 and 1,852

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Solution

The fourth proportional to 5,315.56, 7,974.06 and 1,852 is: 2,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.56 : 7,974.06 = 1,852 : x
  2. Step 2: Convert to fraction form
    5,315.56/7,974.06 = 1,852/x
  3. Step 3: Cross multiply
    5,315.56x = 7,974.06 × 1,852
  4. Step 4: Simplify right side
    5,315.56x = 14,767,959.12
  5. Step 5: Solve for x
    x = 14,767,959.12/5,315.56
  6. Step 6: Final answer
    x = 2,778.25

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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.