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Finding the Fourth Proportional to 4,674.43, 7,013.16 and 3,120.74

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Solution

The fourth proportional to 4,674.43, 7,013.16 and 3,120.74 is: 4,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.43 : 7,013.16 = 3,120.74 : x
  2. Step 2: Convert to fraction form
    4,674.43/7,013.16 = 3,120.74/x
  3. Step 3: Cross multiply
    4,674.43x = 7,013.16 × 3,120.74
  4. Step 4: Simplify right side
    4,674.43x = 21,886,248.94
  5. Step 5: Solve for x
    x = 21,886,248.94/4,674.43
  6. Step 6: Final answer
    x = 4,682.12

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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.