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Finding the Fourth Proportional to 5,542.68, 7,649.64 and 5,360.34

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Solution

The fourth proportional to 5,542.68, 7,649.64 and 5,360.34 is: 7,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.68 : 7,649.64 = 5,360.34 : x
  2. Step 2: Convert to fraction form
    5,542.68/7,649.64 = 5,360.34/x
  3. Step 3: Cross multiply
    5,542.68x = 7,649.64 × 5,360.34
  4. Step 4: Simplify right side
    5,542.68x = 41,004,671.28
  5. Step 5: Solve for x
    x = 41,004,671.28/5,542.68
  6. Step 6: Final answer
    x = 7,397.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.