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Finding the Fourth Proportional to 3,490.83, 4,817.26 and 1,897.43

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Solution

The fourth proportional to 3,490.83, 4,817.26 and 1,897.43 is: 2,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.83 : 4,817.26 = 1,897.43 : x
  2. Step 2: Convert to fraction form
    3,490.83/4,817.26 = 1,897.43/x
  3. Step 3: Cross multiply
    3,490.83x = 4,817.26 × 1,897.43
  4. Step 4: Simplify right side
    3,490.83x = 9,140,404.15
  5. Step 5: Solve for x
    x = 9,140,404.15/3,490.83
  6. Step 6: Final answer
    x = 2,618.41

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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.