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Finding the Fourth Proportional to 3,530.07, 5,295.11 and 1,583.64

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Solution

The fourth proportional to 3,530.07, 5,295.11 and 1,583.64 is: 2,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.07 : 5,295.11 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    3,530.07/5,295.11 = 1,583.64/x
  3. Step 3: Cross multiply
    3,530.07x = 5,295.11 × 1,583.64
  4. Step 4: Simplify right side
    3,530.07x = 8,385,540.08
  5. Step 5: Solve for x
    x = 8,385,540.08/3,530.07
  6. Step 6: Final answer
    x = 2,375.46

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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.