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Finding the Fourth Proportional to 3,646.32, 5,031.88 and 2,074.41

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Solution

The fourth proportional to 3,646.32, 5,031.88 and 2,074.41 is: 2,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.32 : 5,031.88 = 2,074.41 : x
  2. Step 2: Convert to fraction form
    3,646.32/5,031.88 = 2,074.41/x
  3. Step 3: Cross multiply
    3,646.32x = 5,031.88 × 2,074.41
  4. Step 4: Simplify right side
    3,646.32x = 10,438,197.36
  5. Step 5: Solve for x
    x = 10,438,197.36/3,646.32
  6. Step 6: Final answer
    x = 2,862.66

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