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Finding the Fourth Proportional to 3,603.31, 4,972.57 and 2,031.40

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Solution

The fourth proportional to 3,603.31, 4,972.57 and 2,031.40 is: 2,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.31 : 4,972.57 = 2,031.40 : x
  2. Step 2: Convert to fraction form
    3,603.31/4,972.57 = 2,031.40/x
  3. Step 3: Cross multiply
    3,603.31x = 4,972.57 × 2,031.40
  4. Step 4: Simplify right side
    3,603.31x = 10,101,279.84
  5. Step 5: Solve for x
    x = 10,101,279.84/3,603.31
  6. Step 6: Final answer
    x = 2,803.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.