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Finding the Fourth Proportional to 4,328.50, 6,493.37 and 1,365.93

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Solution

The fourth proportional to 4,328.50, 6,493.37 and 1,365.93 is: 2,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.50 : 6,493.37 = 1,365.93 : x
  2. Step 2: Convert to fraction form
    4,328.50/6,493.37 = 1,365.93/x
  3. Step 3: Cross multiply
    4,328.50x = 6,493.37 × 1,365.93
  4. Step 4: Simplify right side
    4,328.50x = 8,869,516.65
  5. Step 5: Solve for x
    x = 8,869,516.65/4,328.50
  6. Step 6: Final answer
    x = 2,049.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.