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Finding the Fourth Proportional to 4,617.34, 6,924.76 and 2,149.74

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Solution

The fourth proportional to 4,617.34, 6,924.76 and 2,149.74 is: 3,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.34 : 6,924.76 = 2,149.74 : x
  2. Step 2: Convert to fraction form
    4,617.34/6,924.76 = 2,149.74/x
  3. Step 3: Cross multiply
    4,617.34x = 6,924.76 × 2,149.74
  4. Step 4: Simplify right side
    4,617.34x = 14,886,428.19
  5. Step 5: Solve for x
    x = 14,886,428.19/4,617.34
  6. Step 6: Final answer
    x = 3,224.03

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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.