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Finding the Fourth Proportional to 4,223.69, 5,828.51 and 2,454.96

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Solution

The fourth proportional to 4,223.69, 5,828.51 and 2,454.96 is: 3,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.69 : 5,828.51 = 2,454.96 : x
  2. Step 2: Convert to fraction form
    4,223.69/5,828.51 = 2,454.96/x
  3. Step 3: Cross multiply
    4,223.69x = 5,828.51 × 2,454.96
  4. Step 4: Simplify right side
    4,223.69x = 14,308,740.31
  5. Step 5: Solve for x
    x = 14,308,740.31/4,223.69
  6. Step 6: Final answer
    x = 3,387.73

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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.