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Finding the Fourth Proportional to 5,169.60, 7,754.36 and 1,471.35

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Solution

The fourth proportional to 5,169.60, 7,754.36 and 1,471.35 is: 2,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.60 : 7,754.36 = 1,471.35 : x
  2. Step 2: Convert to fraction form
    5,169.60/7,754.36 = 1,471.35/x
  3. Step 3: Cross multiply
    5,169.60x = 7,754.36 × 1,471.35
  4. Step 4: Simplify right side
    5,169.60x = 11,409,331.46
  5. Step 5: Solve for x
    x = 11,409,331.46/5,169.60
  6. Step 6: Final answer
    x = 2,207.00

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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.