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Finding the Fourth Proportional to 5,627.49, 8,429.76 and 3,404.94

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Solution

The fourth proportional to 5,627.49, 8,429.76 and 3,404.94 is: 5,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.49 : 8,429.76 = 3,404.94 : x
  2. Step 2: Convert to fraction form
    5,627.49/8,429.76 = 3,404.94/x
  3. Step 3: Cross multiply
    5,627.49x = 8,429.76 × 3,404.94
  4. Step 4: Simplify right side
    5,627.49x = 28,702,827.01
  5. Step 5: Solve for x
    x = 28,702,827.01/5,627.49
  6. Step 6: Final answer
    x = 5,100.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.