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Finding the Fourth Proportional to 5,798.25, 8,002.67 and 3,314.25

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Solution

The fourth proportional to 5,798.25, 8,002.67 and 3,314.25 is: 4,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.25 : 8,002.67 = 3,314.25 : x
  2. Step 2: Convert to fraction form
    5,798.25/8,002.67 = 3,314.25/x
  3. Step 3: Cross multiply
    5,798.25x = 8,002.67 × 3,314.25
  4. Step 4: Simplify right side
    5,798.25x = 26,522,832.48
  5. Step 5: Solve for x
    x = 26,522,832.48/5,798.25
  6. Step 6: Final answer
    x = 4,574.28

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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.