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Finding the Fourth Proportional to 4,322.73, 6,484.96 and 1,361.63

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Solution

The fourth proportional to 4,322.73, 6,484.96 and 1,361.63 is: 2,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.73 : 6,484.96 = 1,361.63 : x
  2. Step 2: Convert to fraction form
    4,322.73/6,484.96 = 1,361.63/x
  3. Step 3: Cross multiply
    4,322.73x = 6,484.96 × 1,361.63
  4. Step 4: Simplify right side
    4,322.73x = 8,830,130.50
  5. Step 5: Solve for x
    x = 8,830,130.50/4,322.73
  6. Step 6: Final answer
    x = 2,042.72

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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.