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Finding the Fourth Proportional to 5,633.52, 8,457.23 and 3,652.66

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Solution

The fourth proportional to 5,633.52, 8,457.23 and 3,652.66 is: 5,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.52 : 8,457.23 = 3,652.66 : x
  2. Step 2: Convert to fraction form
    5,633.52/8,457.23 = 3,652.66/x
  3. Step 3: Cross multiply
    5,633.52x = 8,457.23 × 3,652.66
  4. Step 4: Simplify right side
    5,633.52x = 30,891,385.73
  5. Step 5: Solve for x
    x = 30,891,385.73/5,633.52
  6. Step 6: Final answer
    x = 5,483.50

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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.