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Finding the Fourth Proportional to 4,333.80, 6,502.32 and 2,023.68

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Solution

The fourth proportional to 4,333.80, 6,502.32 and 2,023.68 is: 3,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.80 : 6,502.32 = 2,023.68 : x
  2. Step 2: Convert to fraction form
    4,333.80/6,502.32 = 2,023.68/x
  3. Step 3: Cross multiply
    4,333.80x = 6,502.32 × 2,023.68
  4. Step 4: Simplify right side
    4,333.80x = 13,158,614.94
  5. Step 5: Solve for x
    x = 13,158,614.94/4,333.80
  6. Step 6: Final answer
    x = 3,036.28

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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.