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Finding the Fourth Proportional to 3,645.95, 5,031.52 and 2,074.14

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Solution

The fourth proportional to 3,645.95, 5,031.52 and 2,074.14 is: 2,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.95 : 5,031.52 = 2,074.14 : x
  2. Step 2: Convert to fraction form
    3,645.95/5,031.52 = 2,074.14/x
  3. Step 3: Cross multiply
    3,645.95x = 5,031.52 × 2,074.14
  4. Step 4: Simplify right side
    3,645.95x = 10,436,071.71
  5. Step 5: Solve for x
    x = 10,436,071.71/3,645.95
  6. Step 6: Final answer
    x = 2,862.38

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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.