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Finding the Fourth Proportional to 4,103.66, 6,155.58 and 1,471.34

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Solution

The fourth proportional to 4,103.66, 6,155.58 and 1,471.34 is: 2,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.66 : 6,155.58 = 1,471.34 : x
  2. Step 2: Convert to fraction form
    4,103.66/6,155.58 = 1,471.34/x
  3. Step 3: Cross multiply
    4,103.66x = 6,155.58 × 1,471.34
  4. Step 4: Simplify right side
    4,103.66x = 9,056,971.98
  5. Step 5: Solve for x
    x = 9,056,971.98/4,103.66
  6. Step 6: Final answer
    x = 2,207.05

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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.