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Finding the Fourth Proportional to 3,590.31, 4,954.32 and 2,098.05

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Solution

The fourth proportional to 3,590.31, 4,954.32 and 2,098.05 is: 2,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.31 : 4,954.32 = 2,098.05 : x
  2. Step 2: Convert to fraction form
    3,590.31/4,954.32 = 2,098.05/x
  3. Step 3: Cross multiply
    3,590.31x = 4,954.32 × 2,098.05
  4. Step 4: Simplify right side
    3,590.31x = 10,394,411.08
  5. Step 5: Solve for x
    x = 10,394,411.08/3,590.31
  6. Step 6: Final answer
    x = 2,895.13

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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.