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Finding the Fourth Proportional to 5,198.59, 7,790.68 and 4,503.53

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Solution

The fourth proportional to 5,198.59, 7,790.68 and 4,503.53 is: 6,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.59 : 7,790.68 = 4,503.53 : x
  2. Step 2: Convert to fraction form
    5,198.59/7,790.68 = 4,503.53/x
  3. Step 3: Cross multiply
    5,198.59x = 7,790.68 × 4,503.53
  4. Step 4: Simplify right side
    5,198.59x = 35,085,561.10
  5. Step 5: Solve for x
    x = 35,085,561.10/5,198.59
  6. Step 6: Final answer
    x = 6,749.05

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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.