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Finding the Fourth Proportional to 3,097.60, 4,651.80 and 3,000.40

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Solution

The fourth proportional to 3,097.60, 4,651.80 and 3,000.40 is: 4,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.60 : 4,651.80 = 3,000.40 : x
  2. Step 2: Convert to fraction form
    3,097.60/4,651.80 = 3,000.40/x
  3. Step 3: Cross multiply
    3,097.60x = 4,651.80 × 3,000.40
  4. Step 4: Simplify right side
    3,097.60x = 13,957,260.72
  5. Step 5: Solve for x
    x = 13,957,260.72/3,097.60
  6. Step 6: Final answer
    x = 4,505.83

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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.