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Finding the Fourth Proportional to 5,574.72, 7,679.76 and 4,690.56

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Solution

The fourth proportional to 5,574.72, 7,679.76 and 4,690.56 is: 6,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.72 : 7,679.76 = 4,690.56 : x
  2. Step 2: Convert to fraction form
    5,574.72/7,679.76 = 4,690.56/x
  3. Step 3: Cross multiply
    5,574.72x = 7,679.76 × 4,690.56
  4. Step 4: Simplify right side
    5,574.72x = 36,022,375.07
  5. Step 5: Solve for x
    x = 36,022,375.07/5,574.72
  6. Step 6: Final answer
    x = 6,461.74

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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.