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Finding the Fourth Proportional to 5,493.04, 8,199.81 and 5,124.20

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Solution

The fourth proportional to 5,493.04, 8,199.81 and 5,124.20 is: 7,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.04 : 8,199.81 = 5,124.20 : x
  2. Step 2: Convert to fraction form
    5,493.04/8,199.81 = 5,124.20/x
  3. Step 3: Cross multiply
    5,493.04x = 8,199.81 × 5,124.20
  4. Step 4: Simplify right side
    5,493.04x = 42,017,466.40
  5. Step 5: Solve for x
    x = 42,017,466.40/5,493.04
  6. Step 6: Final answer
    x = 7,649.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.