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Finding the Fourth Proportional to 3,920.88, 5,883.12 and 1,457.76

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Solution

The fourth proportional to 3,920.88, 5,883.12 and 1,457.76 is: 2,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.88 : 5,883.12 = 1,457.76 : x
  2. Step 2: Convert to fraction form
    3,920.88/5,883.12 = 1,457.76/x
  3. Step 3: Cross multiply
    3,920.88x = 5,883.12 × 1,457.76
  4. Step 4: Simplify right side
    3,920.88x = 8,576,177.01
  5. Step 5: Solve for x
    x = 8,576,177.01/3,920.88
  6. Step 6: Final answer
    x = 2,187.31

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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.