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Finding the Fourth Proportional to 4,521.90, 6,783 and 2,149.47

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Solution

The fourth proportional to 4,521.90, 6,783 and 2,149.47 is: 3,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.90 : 6,783 = 2,149.47 : x
  2. Step 2: Convert to fraction form
    4,521.90/6,783 = 2,149.47/x
  3. Step 3: Cross multiply
    4,521.90x = 6,783 × 2,149.47
  4. Step 4: Simplify right side
    4,521.90x = 14,579,855.01
  5. Step 5: Solve for x
    x = 14,579,855.01/4,521.90
  6. Step 6: Final answer
    x = 3,224.28

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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.