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Finding the Fourth Proportional to 4,598.66, 6,902.09 and 2,134.87

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Solution

The fourth proportional to 4,598.66, 6,902.09 and 2,134.87 is: 3,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.66 : 6,902.09 = 2,134.87 : x
  2. Step 2: Convert to fraction form
    4,598.66/6,902.09 = 2,134.87/x
  3. Step 3: Cross multiply
    4,598.66x = 6,902.09 × 2,134.87
  4. Step 4: Simplify right side
    4,598.66x = 14,735,076.38
  5. Step 5: Solve for x
    x = 14,735,076.38/4,598.66
  6. Step 6: Final answer
    x = 3,204.21

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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.