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Finding the Fourth Proportional to 5,451.65, 8,176.70 and 1,754.21

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Solution

The fourth proportional to 5,451.65, 8,176.70 and 1,754.21 is: 2,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.65 : 8,176.70 = 1,754.21 : x
  2. Step 2: Convert to fraction form
    5,451.65/8,176.70 = 1,754.21/x
  3. Step 3: Cross multiply
    5,451.65x = 8,176.70 × 1,754.21
  4. Step 4: Simplify right side
    5,451.65x = 14,343,612.41
  5. Step 5: Solve for x
    x = 14,343,612.41/5,451.65
  6. Step 6: Final answer
    x = 2,631.06

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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.