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Finding the Fourth Proportional to 5,756, 8,634.48 and 1,652

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Solution

The fourth proportional to 5,756, 8,634.48 and 1,652 is: 2,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756 : 8,634.48 = 1,652 : x
  2. Step 2: Convert to fraction form
    5,756/8,634.48 = 1,652/x
  3. Step 3: Cross multiply
    5,756x = 8,634.48 × 1,652
  4. Step 4: Simplify right side
    5,756x = 14,264,160.96
  5. Step 5: Solve for x
    x = 14,264,160.96/5,756
  6. Step 6: Final answer
    x = 2,478.14

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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.