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Finding the Fourth Proportional to 5,797.04, 8,695.84 and 2,334

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Solution

The fourth proportional to 5,797.04, 8,695.84 and 2,334 is: 3,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.04 : 8,695.84 = 2,334 : x
  2. Step 2: Convert to fraction form
    5,797.04/8,695.84 = 2,334/x
  3. Step 3: Cross multiply
    5,797.04x = 8,695.84 × 2,334
  4. Step 4: Simplify right side
    5,797.04x = 20,296,090.56
  5. Step 5: Solve for x
    x = 20,296,090.56/5,797.04
  6. Step 6: Final answer
    x = 3,501.11

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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.