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Finding the Fourth Proportional to 5,873.94, 8,102.94 and 3,635.10

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Solution

The fourth proportional to 5,873.94, 8,102.94 and 3,635.10 is: 5,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.94 : 8,102.94 = 3,635.10 : x
  2. Step 2: Convert to fraction form
    5,873.94/8,102.94 = 3,635.10/x
  3. Step 3: Cross multiply
    5,873.94x = 8,102.94 × 3,635.10
  4. Step 4: Simplify right side
    5,873.94x = 29,454,997.19
  5. Step 5: Solve for x
    x = 29,454,997.19/5,873.94
  6. Step 6: Final answer
    x = 5,014.52

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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.