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Finding the Fourth Proportional to 3,493.68, 4,814.50 and 2,897.04

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Solution

The fourth proportional to 3,493.68, 4,814.50 and 2,897.04 is: 3,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.68 : 4,814.50 = 2,897.04 : x
  2. Step 2: Convert to fraction form
    3,493.68/4,814.50 = 2,897.04/x
  3. Step 3: Cross multiply
    3,493.68x = 4,814.50 × 2,897.04
  4. Step 4: Simplify right side
    3,493.68x = 13,947,799.08
  5. Step 5: Solve for x
    x = 13,947,799.08/3,493.68
  6. Step 6: Final answer
    x = 3,992.29

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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.