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Finding the Fourth Proportional to 4,352.63, 6,520.30 and 2,154.65

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Solution

The fourth proportional to 4,352.63, 6,520.30 and 2,154.65 is: 3,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.63 : 6,520.30 = 2,154.65 : x
  2. Step 2: Convert to fraction form
    4,352.63/6,520.30 = 2,154.65/x
  3. Step 3: Cross multiply
    4,352.63x = 6,520.30 × 2,154.65
  4. Step 4: Simplify right side
    4,352.63x = 14,048,926.41
  5. Step 5: Solve for x
    x = 14,048,926.41/4,352.63
  6. Step 6: Final answer
    x = 3,227.69

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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.