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Finding the Fourth Proportional to 3,903.75, 5,858.10 and 1,595.25

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Solution

The fourth proportional to 3,903.75, 5,858.10 and 1,595.25 is: 2,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.75 : 5,858.10 = 1,595.25 : x
  2. Step 2: Convert to fraction form
    3,903.75/5,858.10 = 1,595.25/x
  3. Step 3: Cross multiply
    3,903.75x = 5,858.10 × 1,595.25
  4. Step 4: Simplify right side
    3,903.75x = 9,345,134.03
  5. Step 5: Solve for x
    x = 9,345,134.03/3,903.75
  6. Step 6: Final answer
    x = 2,393.89

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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.