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Finding the Fourth Proportional to 5,201.93, 7,807.01 and 2,427.19

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Solution

The fourth proportional to 5,201.93, 7,807.01 and 2,427.19 is: 3,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.93 : 7,807.01 = 2,427.19 : x
  2. Step 2: Convert to fraction form
    5,201.93/7,807.01 = 2,427.19/x
  3. Step 3: Cross multiply
    5,201.93x = 7,807.01 × 2,427.19
  4. Step 4: Simplify right side
    5,201.93x = 18,949,064.95
  5. Step 5: Solve for x
    x = 18,949,064.95/5,201.93
  6. Step 6: Final answer
    x = 3,642.70

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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.