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Finding the Fourth Proportional to 3,023.40, 4,535.10 and 2,804.70

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Solution

The fourth proportional to 3,023.40, 4,535.10 and 2,804.70 is: 4,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.40 : 4,535.10 = 2,804.70 : x
  2. Step 2: Convert to fraction form
    3,023.40/4,535.10 = 2,804.70/x
  3. Step 3: Cross multiply
    3,023.40x = 4,535.10 × 2,804.70
  4. Step 4: Simplify right side
    3,023.40x = 12,719,594.97
  5. Step 5: Solve for x
    x = 12,719,594.97/3,023.40
  6. Step 6: Final answer
    x = 4,207.05

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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.