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Finding the Fourth Proportional to 3,887.24, 5,829.14 and 1,113.28

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Solution

The fourth proportional to 3,887.24, 5,829.14 and 1,113.28 is: 1,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.24 : 5,829.14 = 1,113.28 : x
  2. Step 2: Convert to fraction form
    3,887.24/5,829.14 = 1,113.28/x
  3. Step 3: Cross multiply
    3,887.24x = 5,829.14 × 1,113.28
  4. Step 4: Simplify right side
    3,887.24x = 6,489,459.41
  5. Step 5: Solve for x
    x = 6,489,459.41/3,887.24
  6. Step 6: Final answer
    x = 1,669.43

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1.5x scale

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.