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Finding the Fourth Proportional to 3,411.11, 5,115.62 and 945.34

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Solution

The fourth proportional to 3,411.11, 5,115.62 and 945.34 is: 1,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.11 : 5,115.62 = 945.34 : x
  2. Step 2: Convert to fraction form
    3,411.11/5,115.62 = 945.34/x
  3. Step 3: Cross multiply
    3,411.11x = 5,115.62 × 945.34
  4. Step 4: Simplify right side
    3,411.11x = 4,835,989.79
  5. Step 5: Solve for x
    x = 4,835,989.79/3,411.11
  6. Step 6: Final answer
    x = 1,417.72

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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.