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Finding the Fourth Proportional to 6,204.52, 8,562.20 and 3,410

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Solution

The fourth proportional to 6,204.52, 8,562.20 and 3,410 is: 4,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.52 : 8,562.20 = 3,410 : x
  2. Step 2: Convert to fraction form
    6,204.52/8,562.20 = 3,410/x
  3. Step 3: Cross multiply
    6,204.52x = 8,562.20 × 3,410
  4. Step 4: Simplify right side
    6,204.52x = 29,197,102.00
  5. Step 5: Solve for x
    x = 29,197,102.00/6,204.52
  6. Step 6: Final answer
    x = 4,705.78

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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.