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Finding the Fourth Proportional to 3,534.57, 5,298.21 and 1,587.33

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Solution

The fourth proportional to 3,534.57, 5,298.21 and 1,587.33 is: 2,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.57 : 5,298.21 = 1,587.33 : x
  2. Step 2: Convert to fraction form
    3,534.57/5,298.21 = 1,587.33/x
  3. Step 3: Cross multiply
    3,534.57x = 5,298.21 × 1,587.33
  4. Step 4: Simplify right side
    3,534.57x = 8,410,007.68
  5. Step 5: Solve for x
    x = 8,410,007.68/3,534.57
  6. Step 6: Final answer
    x = 2,379.36

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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.