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Finding the Fourth Proportional to 5,574.42, 8,362.71 and 2,980.26

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Solution

The fourth proportional to 5,574.42, 8,362.71 and 2,980.26 is: 4,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.42 : 8,362.71 = 2,980.26 : x
  2. Step 2: Convert to fraction form
    5,574.42/8,362.71 = 2,980.26/x
  3. Step 3: Cross multiply
    5,574.42x = 8,362.71 × 2,980.26
  4. Step 4: Simplify right side
    5,574.42x = 24,923,050.10
  5. Step 5: Solve for x
    x = 24,923,050.10/5,574.42
  6. Step 6: Final answer
    x = 4,470.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.