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Finding the Fourth Proportional to 5,669.72, 8,505.09 and 1,774.03

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Solution

The fourth proportional to 5,669.72, 8,505.09 and 1,774.03 is: 2,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.72 : 8,505.09 = 1,774.03 : x
  2. Step 2: Convert to fraction form
    5,669.72/8,505.09 = 1,774.03/x
  3. Step 3: Cross multiply
    5,669.72x = 8,505.09 × 1,774.03
  4. Step 4: Simplify right side
    5,669.72x = 15,088,263.55
  5. Step 5: Solve for x
    x = 15,088,263.55/5,669.72
  6. Step 6: Final answer
    x = 2,661.20

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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.