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Finding the Fourth Proportional to 3,835.76, 5,752.10 and 1,495.43

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Solution

The fourth proportional to 3,835.76, 5,752.10 and 1,495.43 is: 2,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.76 : 5,752.10 = 1,495.43 : x
  2. Step 2: Convert to fraction form
    3,835.76/5,752.10 = 1,495.43/x
  3. Step 3: Cross multiply
    3,835.76x = 5,752.10 × 1,495.43
  4. Step 4: Simplify right side
    3,835.76x = 8,601,859.45
  5. Step 5: Solve for x
    x = 8,601,859.45/3,835.76
  6. Step 6: Final answer
    x = 2,242.55

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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.