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Finding the Fourth Proportional to 3,471.34, 5,206.48 and 1,390.81

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Solution

The fourth proportional to 3,471.34, 5,206.48 and 1,390.81 is: 2,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.34 : 5,206.48 = 1,390.81 : x
  2. Step 2: Convert to fraction form
    3,471.34/5,206.48 = 1,390.81/x
  3. Step 3: Cross multiply
    3,471.34x = 5,206.48 × 1,390.81
  4. Step 4: Simplify right side
    3,471.34x = 7,241,224.45
  5. Step 5: Solve for x
    x = 7,241,224.45/3,471.34
  6. Step 6: Final answer
    x = 2,086.00

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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.