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Finding the Fourth Proportional to 5,834.70, 8,055.45 and 3,599.60

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Solution

The fourth proportional to 5,834.70, 8,055.45 and 3,599.60 is: 4,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.70 : 8,055.45 = 3,599.60 : x
  2. Step 2: Convert to fraction form
    5,834.70/8,055.45 = 3,599.60/x
  3. Step 3: Cross multiply
    5,834.70x = 8,055.45 × 3,599.60
  4. Step 4: Simplify right side
    5,834.70x = 28,996,357.54
  5. Step 5: Solve for x
    x = 28,996,357.54/5,834.70
  6. Step 6: Final answer
    x = 4,969.64

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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.