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Finding the Fourth Proportional to 5,591.79, 7,712.40 and 3,800.64

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Solution

The fourth proportional to 5,591.79, 7,712.40 and 3,800.64 is: 5,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.79 : 7,712.40 = 3,800.64 : x
  2. Step 2: Convert to fraction form
    5,591.79/7,712.40 = 3,800.64/x
  3. Step 3: Cross multiply
    5,591.79x = 7,712.40 × 3,800.64
  4. Step 4: Simplify right side
    5,591.79x = 29,312,055.94
  5. Step 5: Solve for x
    x = 29,312,055.94/5,591.79
  6. Step 6: Final answer
    x = 5,241.98

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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.