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Finding the Fourth Proportional to 3,135.85, 4,703.17 and 1,575.43

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Solution

The fourth proportional to 3,135.85, 4,703.17 and 1,575.43 is: 2,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.85 : 4,703.17 = 1,575.43 : x
  2. Step 2: Convert to fraction form
    3,135.85/4,703.17 = 1,575.43/x
  3. Step 3: Cross multiply
    3,135.85x = 4,703.17 × 1,575.43
  4. Step 4: Simplify right side
    3,135.85x = 7,409,515.11
  5. Step 5: Solve for x
    x = 7,409,515.11/3,135.85
  6. Step 6: Final answer
    x = 2,362.84

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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.