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Finding the Fourth Proportional to 3,587.84, 5,383.20 and 1,397.24

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Solution

The fourth proportional to 3,587.84, 5,383.20 and 1,397.24 is: 2,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.84 : 5,383.20 = 1,397.24 : x
  2. Step 2: Convert to fraction form
    3,587.84/5,383.20 = 1,397.24/x
  3. Step 3: Cross multiply
    3,587.84x = 5,383.20 × 1,397.24
  4. Step 4: Simplify right side
    3,587.84x = 7,521,622.37
  5. Step 5: Solve for x
    x = 7,521,622.37/3,587.84
  6. Step 6: Final answer
    x = 2,096.42

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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.