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Finding the Fourth Proportional to 4,336.24, 5,984.03 and 2,447.90

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Solution

The fourth proportional to 4,336.24, 5,984.03 and 2,447.90 is: 3,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.24 : 5,984.03 = 2,447.90 : x
  2. Step 2: Convert to fraction form
    4,336.24/5,984.03 = 2,447.90/x
  3. Step 3: Cross multiply
    4,336.24x = 5,984.03 × 2,447.90
  4. Step 4: Simplify right side
    4,336.24x = 14,648,307.04
  5. Step 5: Solve for x
    x = 14,648,307.04/4,336.24
  6. Step 6: Final answer
    x = 3,378.11

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