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Finding the Fourth Proportional to 5,635.80, 7,776.72 and 3,117.74

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Solution

The fourth proportional to 5,635.80, 7,776.72 and 3,117.74 is: 4,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.80 : 7,776.72 = 3,117.74 : x
  2. Step 2: Convert to fraction form
    5,635.80/7,776.72 = 3,117.74/x
  3. Step 3: Cross multiply
    5,635.80x = 7,776.72 × 3,117.74
  4. Step 4: Simplify right side
    5,635.80x = 24,245,791.01
  5. Step 5: Solve for x
    x = 24,245,791.01/5,635.80
  6. Step 6: Final answer
    x = 4,302.10

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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.