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Finding the Fourth Proportional to 3,588.90, 5,383.95 and 1,397.04

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Solution

The fourth proportional to 3,588.90, 5,383.95 and 1,397.04 is: 2,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.90 : 5,383.95 = 1,397.04 : x
  2. Step 2: Convert to fraction form
    3,588.90/5,383.95 = 1,397.04/x
  3. Step 3: Cross multiply
    3,588.90x = 5,383.95 × 1,397.04
  4. Step 4: Simplify right side
    3,588.90x = 7,521,593.51
  5. Step 5: Solve for x
    x = 7,521,593.51/3,588.90
  6. Step 6: Final answer
    x = 2,095.79

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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.