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Finding the Fourth Proportional to 5,204.34, 7,182.06 and 2,846.52

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Solution

The fourth proportional to 5,204.34, 7,182.06 and 2,846.52 is: 3,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.34 : 7,182.06 = 2,846.52 : x
  2. Step 2: Convert to fraction form
    5,204.34/7,182.06 = 2,846.52/x
  3. Step 3: Cross multiply
    5,204.34x = 7,182.06 × 2,846.52
  4. Step 4: Simplify right side
    5,204.34x = 20,443,877.43
  5. Step 5: Solve for x
    x = 20,443,877.43/5,204.34
  6. Step 6: Final answer
    x = 3,928.24

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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.