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Finding the Fourth Proportional to 5,645.72, 7,790.78 and 3,127.63

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Solution

The fourth proportional to 5,645.72, 7,790.78 and 3,127.63 is: 4,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.72 : 7,790.78 = 3,127.63 : x
  2. Step 2: Convert to fraction form
    5,645.72/7,790.78 = 3,127.63/x
  3. Step 3: Cross multiply
    5,645.72x = 7,790.78 × 3,127.63
  4. Step 4: Simplify right side
    5,645.72x = 24,366,622.66
  5. Step 5: Solve for x
    x = 24,366,622.66/5,645.72
  6. Step 6: Final answer
    x = 4,315.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.