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Finding the Fourth Proportional to 3,511.66, 5,267.44 and 1,048.16

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Solution

The fourth proportional to 3,511.66, 5,267.44 and 1,048.16 is: 1,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.66 : 5,267.44 = 1,048.16 : x
  2. Step 2: Convert to fraction form
    3,511.66/5,267.44 = 1,048.16/x
  3. Step 3: Cross multiply
    3,511.66x = 5,267.44 × 1,048.16
  4. Step 4: Simplify right side
    3,511.66x = 5,521,119.91
  5. Step 5: Solve for x
    x = 5,521,119.91/3,511.66
  6. Step 6: Final answer
    x = 1,572.23

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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.