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Finding the Fourth Proportional to 5,645.57, 7,790.57 and 3,127.64

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Solution

The fourth proportional to 5,645.57, 7,790.57 and 3,127.64 is: 4,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.57 : 7,790.57 = 3,127.64 : x
  2. Step 2: Convert to fraction form
    5,645.57/7,790.57 = 3,127.64/x
  3. Step 3: Cross multiply
    5,645.57x = 7,790.57 × 3,127.64
  4. Step 4: Simplify right side
    5,645.57x = 24,366,043.76
  5. Step 5: Solve for x
    x = 24,366,043.76/5,645.57
  6. Step 6: Final answer
    x = 4,315.96

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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.