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Finding the Fourth Proportional to 4,149.63, 5,725.62 and 2,470.50

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Solution

The fourth proportional to 4,149.63, 5,725.62 and 2,470.50 is: 3,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.63 : 5,725.62 = 2,470.50 : x
  2. Step 2: Convert to fraction form
    4,149.63/5,725.62 = 2,470.50/x
  3. Step 3: Cross multiply
    4,149.63x = 5,725.62 × 2,470.50
  4. Step 4: Simplify right side
    4,149.63x = 14,145,144.21
  5. Step 5: Solve for x
    x = 14,145,144.21/4,149.63
  6. Step 6: Final answer
    x = 3,408.77

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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.