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Finding the Fourth Proportional to 5,368.12, 8,054.10 and 2,446.52

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Solution

The fourth proportional to 5,368.12, 8,054.10 and 2,446.52 is: 3,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.12 : 8,054.10 = 2,446.52 : x
  2. Step 2: Convert to fraction form
    5,368.12/8,054.10 = 2,446.52/x
  3. Step 3: Cross multiply
    5,368.12x = 8,054.10 × 2,446.52
  4. Step 4: Simplify right side
    5,368.12x = 19,704,516.73
  5. Step 5: Solve for x
    x = 19,704,516.73/5,368.12
  6. Step 6: Final answer
    x = 3,670.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.