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Finding the Fourth Proportional to 4,070.56, 6,101.52 and 1,471.60

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Solution

The fourth proportional to 4,070.56, 6,101.52 and 1,471.60 is: 2,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.56 : 6,101.52 = 1,471.60 : x
  2. Step 2: Convert to fraction form
    4,070.56/6,101.52 = 1,471.60/x
  3. Step 3: Cross multiply
    4,070.56x = 6,101.52 × 1,471.60
  4. Step 4: Simplify right side
    4,070.56x = 8,978,996.83
  5. Step 5: Solve for x
    x = 8,978,996.83/4,070.56
  6. Step 6: Final answer
    x = 2,205.84

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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.