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Finding the Fourth Proportional to 5,600.61, 7,729.43 and 4,200.93

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Solution

The fourth proportional to 5,600.61, 7,729.43 and 4,200.93 is: 5,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.61 : 7,729.43 = 4,200.93 : x
  2. Step 2: Convert to fraction form
    5,600.61/7,729.43 = 4,200.93/x
  3. Step 3: Cross multiply
    5,600.61x = 7,729.43 × 4,200.93
  4. Step 4: Simplify right side
    5,600.61x = 32,470,773.37
  5. Step 5: Solve for x
    x = 32,470,773.37/5,600.61
  6. Step 6: Final answer
    x = 5,797.72

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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.