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Finding the Fourth Proportional to 4,153.59, 6,228.51 and 1,520.31

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Solution

The fourth proportional to 4,153.59, 6,228.51 and 1,520.31 is: 2,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.59 : 6,228.51 = 1,520.31 : x
  2. Step 2: Convert to fraction form
    4,153.59/6,228.51 = 1,520.31/x
  3. Step 3: Cross multiply
    4,153.59x = 6,228.51 × 1,520.31
  4. Step 4: Simplify right side
    4,153.59x = 9,469,242.04
  5. Step 5: Solve for x
    x = 9,469,242.04/4,153.59
  6. Step 6: Final answer
    x = 2,279.77

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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.