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Finding the Fourth Proportional to 5,945.52, 8,205.02 and 3,587.20

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Solution

The fourth proportional to 5,945.52, 8,205.02 and 3,587.20 is: 4,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.52 : 8,205.02 = 3,587.20 : x
  2. Step 2: Convert to fraction form
    5,945.52/8,205.02 = 3,587.20/x
  3. Step 3: Cross multiply
    5,945.52x = 8,205.02 × 3,587.20
  4. Step 4: Simplify right side
    5,945.52x = 29,433,047.74
  5. Step 5: Solve for x
    x = 29,433,047.74/5,945.52
  6. Step 6: Final answer
    x = 4,950.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.