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Finding the Fourth Proportional to 3,475.44, 5,207.01 and 2,887

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Solution

The fourth proportional to 3,475.44, 5,207.01 and 2,887 is: 4,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.44 : 5,207.01 = 2,887 : x
  2. Step 2: Convert to fraction form
    3,475.44/5,207.01 = 2,887/x
  3. Step 3: Cross multiply
    3,475.44x = 5,207.01 × 2,887
  4. Step 4: Simplify right side
    3,475.44x = 15,032,637.87
  5. Step 5: Solve for x
    x = 15,032,637.87/3,475.44
  6. Step 6: Final answer
    x = 4,325.39

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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.