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Finding the Fourth Proportional to 5,096.68, 7,643.10 and 1,809.64

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Solution

The fourth proportional to 5,096.68, 7,643.10 and 1,809.64 is: 2,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.68 : 7,643.10 = 1,809.64 : x
  2. Step 2: Convert to fraction form
    5,096.68/7,643.10 = 1,809.64/x
  3. Step 3: Cross multiply
    5,096.68x = 7,643.10 × 1,809.64
  4. Step 4: Simplify right side
    5,096.68x = 13,831,259.48
  5. Step 5: Solve for x
    x = 13,831,259.48/5,096.68
  6. Step 6: Final answer
    x = 2,713.78

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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.