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Finding the Fourth Proportional to 5,361.48, 8,041.14 and 1,663.11

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Solution

The fourth proportional to 5,361.48, 8,041.14 and 1,663.11 is: 2,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.48 : 8,041.14 = 1,663.11 : x
  2. Step 2: Convert to fraction form
    5,361.48/8,041.14 = 1,663.11/x
  3. Step 3: Cross multiply
    5,361.48x = 8,041.14 × 1,663.11
  4. Step 4: Simplify right side
    5,361.48x = 13,373,300.35
  5. Step 5: Solve for x
    x = 13,373,300.35/5,361.48
  6. Step 6: Final answer
    x = 2,494.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.