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Finding the Fourth Proportional to 5,341.66, 8,012.64 and 1,446.10

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Solution

The fourth proportional to 5,341.66, 8,012.64 and 1,446.10 is: 2,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.66 : 8,012.64 = 1,446.10 : x
  2. Step 2: Convert to fraction form
    5,341.66/8,012.64 = 1,446.10/x
  3. Step 3: Cross multiply
    5,341.66x = 8,012.64 × 1,446.10
  4. Step 4: Simplify right side
    5,341.66x = 11,587,078.70
  5. Step 5: Solve for x
    x = 11,587,078.70/5,341.66
  6. Step 6: Final answer
    x = 2,169.19

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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.