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Finding the Fourth Proportional to 3,503.04, 5,253.12 and 1,310.64

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Solution

The fourth proportional to 3,503.04, 5,253.12 and 1,310.64 is: 1,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.04 : 5,253.12 = 1,310.64 : x
  2. Step 2: Convert to fraction form
    3,503.04/5,253.12 = 1,310.64/x
  3. Step 3: Cross multiply
    3,503.04x = 5,253.12 × 1,310.64
  4. Step 4: Simplify right side
    3,503.04x = 6,884,949.20
  5. Step 5: Solve for x
    x = 6,884,949.20/3,503.04
  6. Step 6: Final answer
    x = 1,965.42

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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.