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Finding the Fourth Proportional to 8,849.64, 13,266.54 and 3,652.20

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Solution

The fourth proportional to 8,849.64, 13,266.54 and 3,652.20 is: 5,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.64 : 13,266.54 = 3,652.20 : x
  2. Step 2: Convert to fraction form
    8,849.64/13,266.54 = 3,652.20/x
  3. Step 3: Cross multiply
    8,849.64x = 13,266.54 × 3,652.20
  4. Step 4: Simplify right side
    8,849.64x = 48,452,057.39
  5. Step 5: Solve for x
    x = 48,452,057.39/8,849.64
  6. Step 6: Final answer
    x = 5,475.03

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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.