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Finding the Fourth Proportional to 3,658, 5,486.98 and 2,342.42

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Solution

The fourth proportional to 3,658, 5,486.98 and 2,342.42 is: 3,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658 : 5,486.98 = 2,342.42 : x
  2. Step 2: Convert to fraction form
    3,658/5,486.98 = 2,342.42/x
  3. Step 3: Cross multiply
    3,658x = 5,486.98 × 2,342.42
  4. Step 4: Simplify right side
    3,658x = 12,852,811.69
  5. Step 5: Solve for x
    x = 12,852,811.69/3,658
  6. Step 6: Final answer
    x = 3,513.62

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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.