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Finding the Fourth Proportional to 5,586, 8,378.64 and 2,298.24

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Solution

The fourth proportional to 5,586, 8,378.64 and 2,298.24 is: 3,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 8,378.64 = 2,298.24 : x
  2. Step 2: Convert to fraction form
    5,586/8,378.64 = 2,298.24/x
  3. Step 3: Cross multiply
    5,586x = 8,378.64 × 2,298.24
  4. Step 4: Simplify right side
    5,586x = 19,256,125.59
  5. Step 5: Solve for x
    x = 19,256,125.59/5,586
  6. Step 6: Final answer
    x = 3,447.21

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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.