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Finding the Fourth Proportional to 3,598.56, 5,395.08 and 1,649.36

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Solution

The fourth proportional to 3,598.56, 5,395.08 and 1,649.36 is: 2,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.56 : 5,395.08 = 1,649.36 : x
  2. Step 2: Convert to fraction form
    3,598.56/5,395.08 = 1,649.36/x
  3. Step 3: Cross multiply
    3,598.56x = 5,395.08 × 1,649.36
  4. Step 4: Simplify right side
    3,598.56x = 8,898,429.15
  5. Step 5: Solve for x
    x = 8,898,429.15/3,598.56
  6. Step 6: Final answer
    x = 2,472.77

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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.