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Finding the Fourth Proportional to 3,411.34, 5,116.17 and 945.58

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Solution

The fourth proportional to 3,411.34, 5,116.17 and 945.58 is: 1,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.34 : 5,116.17 = 945.58 : x
  2. Step 2: Convert to fraction form
    3,411.34/5,116.17 = 945.58/x
  3. Step 3: Cross multiply
    3,411.34x = 5,116.17 × 945.58
  4. Step 4: Simplify right side
    3,411.34x = 4,837,748.03
  5. Step 5: Solve for x
    x = 4,837,748.03/3,411.34
  6. Step 6: Final answer
    x = 1,418.14

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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.