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Finding the Fourth Proportional to 5,155.70, 7,730.04 and 2,380.84

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Solution

The fourth proportional to 5,155.70, 7,730.04 and 2,380.84 is: 3,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.70 : 7,730.04 = 2,380.84 : x
  2. Step 2: Convert to fraction form
    5,155.70/7,730.04 = 2,380.84/x
  3. Step 3: Cross multiply
    5,155.70x = 7,730.04 × 2,380.84
  4. Step 4: Simplify right side
    5,155.70x = 18,403,988.43
  5. Step 5: Solve for x
    x = 18,403,988.43/5,155.70
  6. Step 6: Final answer
    x = 3,569.64

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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.