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Finding the Fourth Proportional to 3,419.36, 5,129.84 and 1,471.76

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Solution

The fourth proportional to 3,419.36, 5,129.84 and 1,471.76 is: 2,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.36 : 5,129.84 = 1,471.76 : x
  2. Step 2: Convert to fraction form
    3,419.36/5,129.84 = 1,471.76/x
  3. Step 3: Cross multiply
    3,419.36x = 5,129.84 × 1,471.76
  4. Step 4: Simplify right side
    3,419.36x = 7,549,893.32
  5. Step 5: Solve for x
    x = 7,549,893.32/3,419.36
  6. Step 6: Final answer
    x = 2,207.98

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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.