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Finding the Fourth Proportional to 3,236.68, 4,847.50 and 1,588.12

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Solution

The fourth proportional to 3,236.68, 4,847.50 and 1,588.12 is: 2,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.68 : 4,847.50 = 1,588.12 : x
  2. Step 2: Convert to fraction form
    3,236.68/4,847.50 = 1,588.12/x
  3. Step 3: Cross multiply
    3,236.68x = 4,847.50 × 1,588.12
  4. Step 4: Simplify right side
    3,236.68x = 7,698,411.70
  5. Step 5: Solve for x
    x = 7,698,411.70/3,236.68
  6. Step 6: Final answer
    x = 2,378.49

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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.