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Finding the Fourth Proportional to 3,699.93, 5,548.05 and 1,359.48

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Solution

The fourth proportional to 3,699.93, 5,548.05 and 1,359.48 is: 2,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.93 : 5,548.05 = 1,359.48 : x
  2. Step 2: Convert to fraction form
    3,699.93/5,548.05 = 1,359.48/x
  3. Step 3: Cross multiply
    3,699.93x = 5,548.05 × 1,359.48
  4. Step 4: Simplify right side
    3,699.93x = 7,542,463.01
  5. Step 5: Solve for x
    x = 7,542,463.01/3,699.93
  6. Step 6: Final answer
    x = 2,038.54

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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.