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Finding the Fourth Proportional to 4,564.38, 6,844.29 and 2,372.46

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Solution

The fourth proportional to 4,564.38, 6,844.29 and 2,372.46 is: 3,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.38 : 6,844.29 = 2,372.46 : x
  2. Step 2: Convert to fraction form
    4,564.38/6,844.29 = 2,372.46/x
  3. Step 3: Cross multiply
    4,564.38x = 6,844.29 × 2,372.46
  4. Step 4: Simplify right side
    4,564.38x = 16,237,804.25
  5. Step 5: Solve for x
    x = 16,237,804.25/4,564.38
  6. Step 6: Final answer
    x = 3,557.50

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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.