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Finding the Fourth Proportional to 5,735.13, 8,601.47 and 4,645.68

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Solution

The fourth proportional to 5,735.13, 8,601.47 and 4,645.68 is: 6,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.13 : 8,601.47 = 4,645.68 : x
  2. Step 2: Convert to fraction form
    5,735.13/8,601.47 = 4,645.68/x
  3. Step 3: Cross multiply
    5,735.13x = 8,601.47 × 4,645.68
  4. Step 4: Simplify right side
    5,735.13x = 39,959,677.15
  5. Step 5: Solve for x
    x = 39,959,677.15/5,735.13
  6. Step 6: Final answer
    x = 6,967.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.