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Finding the Fourth Proportional to 4,321.23, 6,475.74 and 1,721.13

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Solution

The fourth proportional to 4,321.23, 6,475.74 and 1,721.13 is: 2,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.23 : 6,475.74 = 1,721.13 : x
  2. Step 2: Convert to fraction form
    4,321.23/6,475.74 = 1,721.13/x
  3. Step 3: Cross multiply
    4,321.23x = 6,475.74 × 1,721.13
  4. Step 4: Simplify right side
    4,321.23x = 11,145,590.39
  5. Step 5: Solve for x
    x = 11,145,590.39/4,321.23
  6. Step 6: Final answer
    x = 2,579.26

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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.