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Finding the Fourth Proportional to 3,588.92, 5,384.41 and 1,507.85

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Solution

The fourth proportional to 3,588.92, 5,384.41 and 1,507.85 is: 2,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.92 : 5,384.41 = 1,507.85 : x
  2. Step 2: Convert to fraction form
    3,588.92/5,384.41 = 1,507.85/x
  3. Step 3: Cross multiply
    3,588.92x = 5,384.41 × 1,507.85
  4. Step 4: Simplify right side
    3,588.92x = 8,118,892.31
  5. Step 5: Solve for x
    x = 8,118,892.31/3,588.92
  6. Step 6: Final answer
    x = 2,262.21

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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.