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Finding the Fourth Proportional to 3,717.42, 5,573.97 and 1,985.10

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Solution

The fourth proportional to 3,717.42, 5,573.97 and 1,985.10 is: 2,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.42 : 5,573.97 = 1,985.10 : x
  2. Step 2: Convert to fraction form
    3,717.42/5,573.97 = 1,985.10/x
  3. Step 3: Cross multiply
    3,717.42x = 5,573.97 × 1,985.10
  4. Step 4: Simplify right side
    3,717.42x = 11,064,887.85
  5. Step 5: Solve for x
    x = 11,064,887.85/3,717.42
  6. Step 6: Final answer
    x = 2,976.50

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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.