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Finding the Fourth Proportional to 3,583.49, 5,370.86 and 1,502.39

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Solution

The fourth proportional to 3,583.49, 5,370.86 and 1,502.39 is: 2,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.49 : 5,370.86 = 1,502.39 : x
  2. Step 2: Convert to fraction form
    3,583.49/5,370.86 = 1,502.39/x
  3. Step 3: Cross multiply
    3,583.49x = 5,370.86 × 1,502.39
  4. Step 4: Simplify right side
    3,583.49x = 8,069,091.99
  5. Step 5: Solve for x
    x = 8,069,091.99/3,583.49
  6. Step 6: Final answer
    x = 2,251.74

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Why These Related Problems?

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