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Finding the Fourth Proportional to 5,361.45, 8,042.07 and 1,465.83

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Solution

The fourth proportional to 5,361.45, 8,042.07 and 1,465.83 is: 2,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.45 : 8,042.07 = 1,465.83 : x
  2. Step 2: Convert to fraction form
    5,361.45/8,042.07 = 1,465.83/x
  3. Step 3: Cross multiply
    5,361.45x = 8,042.07 × 1,465.83
  4. Step 4: Simplify right side
    5,361.45x = 11,788,307.47
  5. Step 5: Solve for x
    x = 11,788,307.47/5,361.45
  6. Step 6: Final answer
    x = 2,198.72

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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.