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Finding the Fourth Proportional to 4,237.82, 5,848.25 and 2,558.94

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Solution

The fourth proportional to 4,237.82, 5,848.25 and 2,558.94 is: 3,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.82 : 5,848.25 = 2,558.94 : x
  2. Step 2: Convert to fraction form
    4,237.82/5,848.25 = 2,558.94/x
  3. Step 3: Cross multiply
    4,237.82x = 5,848.25 × 2,558.94
  4. Step 4: Simplify right side
    4,237.82x = 14,965,333.42
  5. Step 5: Solve for x
    x = 14,965,333.42/4,237.82
  6. Step 6: Final answer
    x = 3,531.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.