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Finding the Fourth Proportional to 3,587.98, 5,383.35 and 1,398.25

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Solution

The fourth proportional to 3,587.98, 5,383.35 and 1,398.25 is: 2,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.98 : 5,383.35 = 1,398.25 : x
  2. Step 2: Convert to fraction form
    3,587.98/5,383.35 = 1,398.25/x
  3. Step 3: Cross multiply
    3,587.98x = 5,383.35 × 1,398.25
  4. Step 4: Simplify right side
    3,587.98x = 7,527,269.14
  5. Step 5: Solve for x
    x = 7,527,269.14/3,587.98
  6. Step 6: Final answer
    x = 2,097.91

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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.