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Finding the Fourth Proportional to 5,506.75, 8,257.74 and 3,423.61

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Solution

The fourth proportional to 5,506.75, 8,257.74 and 3,423.61 is: 5,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.75 : 8,257.74 = 3,423.61 : x
  2. Step 2: Convert to fraction form
    5,506.75/8,257.74 = 3,423.61/x
  3. Step 3: Cross multiply
    5,506.75x = 8,257.74 × 3,423.61
  4. Step 4: Simplify right side
    5,506.75x = 28,271,281.24
  5. Step 5: Solve for x
    x = 28,271,281.24/5,506.75
  6. Step 6: Final answer
    x = 5,133.93

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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.