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Finding the Fourth Proportional to 5,812.80, 8,021.28 and 3,574.32

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Solution

The fourth proportional to 5,812.80, 8,021.28 and 3,574.32 is: 4,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.80 : 8,021.28 = 3,574.32 : x
  2. Step 2: Convert to fraction form
    5,812.80/8,021.28 = 3,574.32/x
  3. Step 3: Cross multiply
    5,812.80x = 8,021.28 × 3,574.32
  4. Step 4: Simplify right side
    5,812.80x = 28,670,621.53
  5. Step 5: Solve for x
    x = 28,670,621.53/5,812.80
  6. Step 6: Final answer
    x = 4,932.33

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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.