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Finding the Fourth Proportional to 5,649.48, 8,466.03 and 4,009.23

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Solution

The fourth proportional to 5,649.48, 8,466.03 and 4,009.23 is: 6,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.48 : 8,466.03 = 4,009.23 : x
  2. Step 2: Convert to fraction form
    5,649.48/8,466.03 = 4,009.23/x
  3. Step 3: Cross multiply
    5,649.48x = 8,466.03 × 4,009.23
  4. Step 4: Simplify right side
    5,649.48x = 33,942,261.46
  5. Step 5: Solve for x
    x = 33,942,261.46/5,649.48
  6. Step 6: Final answer
    x = 6,008.03

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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.