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Finding the Fourth Proportional to 4,564.37, 6,844.37 and 2,098.46

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Solution

The fourth proportional to 4,564.37, 6,844.37 and 2,098.46 is: 3,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.37 : 6,844.37 = 2,098.46 : x
  2. Step 2: Convert to fraction form
    4,564.37/6,844.37 = 2,098.46/x
  3. Step 3: Cross multiply
    4,564.37x = 6,844.37 × 2,098.46
  4. Step 4: Simplify right side
    4,564.37x = 14,362,591.96
  5. Step 5: Solve for x
    x = 14,362,591.96/4,564.37
  6. Step 6: Final answer
    x = 3,146.68

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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.