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Finding the Fourth Proportional to 3,590.11, 5,384.10 and 1,398.31

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Solution

The fourth proportional to 3,590.11, 5,384.10 and 1,398.31 is: 2,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.11 : 5,384.10 = 1,398.31 : x
  2. Step 2: Convert to fraction form
    3,590.11/5,384.10 = 1,398.31/x
  3. Step 3: Cross multiply
    3,590.11x = 5,384.10 × 1,398.31
  4. Step 4: Simplify right side
    3,590.11x = 7,528,640.87
  5. Step 5: Solve for x
    x = 7,528,640.87/3,590.11
  6. Step 6: Final answer
    x = 2,097.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.