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Finding the Fourth Proportional to 3,583.02, 5,375.07 and 1,118.03

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Solution

The fourth proportional to 3,583.02, 5,375.07 and 1,118.03 is: 1,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.02 : 5,375.07 = 1,118.03 : x
  2. Step 2: Convert to fraction form
    3,583.02/5,375.07 = 1,118.03/x
  3. Step 3: Cross multiply
    3,583.02x = 5,375.07 × 1,118.03
  4. Step 4: Simplify right side
    3,583.02x = 6,009,489.51
  5. Step 5: Solve for x
    x = 6,009,489.51/3,583.02
  6. Step 6: Final answer
    x = 1,677.21

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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.