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Finding the Fourth Proportional to 5,098.56, 7,025.44 and 4,099.84

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Solution

The fourth proportional to 5,098.56, 7,025.44 and 4,099.84 is: 5,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.56 : 7,025.44 = 4,099.84 : x
  2. Step 2: Convert to fraction form
    5,098.56/7,025.44 = 4,099.84/x
  3. Step 3: Cross multiply
    5,098.56x = 7,025.44 × 4,099.84
  4. Step 4: Simplify right side
    5,098.56x = 28,803,179.93
  5. Step 5: Solve for x
    x = 28,803,179.93/5,098.56
  6. Step 6: Final answer
    x = 5,649.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.