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Finding the Fourth Proportional to 4,570.92, 6,311.40 and 3,574.44

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Solution

The fourth proportional to 4,570.92, 6,311.40 and 3,574.44 is: 4,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.92 : 6,311.40 = 3,574.44 : x
  2. Step 2: Convert to fraction form
    4,570.92/6,311.40 = 3,574.44/x
  3. Step 3: Cross multiply
    4,570.92x = 6,311.40 × 3,574.44
  4. Step 4: Simplify right side
    4,570.92x = 22,559,720.62
  5. Step 5: Solve for x
    x = 22,559,720.62/4,570.92
  6. Step 6: Final answer
    x = 4,935.49

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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.