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Finding the Fourth Proportional to 5,193.74, 7,750.85 and 4,639.70

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Solution

The fourth proportional to 5,193.74, 7,750.85 and 4,639.70 is: 6,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.74 : 7,750.85 = 4,639.70 : x
  2. Step 2: Convert to fraction form
    5,193.74/7,750.85 = 4,639.70/x
  3. Step 3: Cross multiply
    5,193.74x = 7,750.85 × 4,639.70
  4. Step 4: Simplify right side
    5,193.74x = 35,961,618.75
  5. Step 5: Solve for x
    x = 35,961,618.75/5,193.74
  6. Step 6: Final answer
    x = 6,924.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.