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Finding the Fourth Proportional to 5,974.41, 8,259.12 and 5,476.26

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Solution

The fourth proportional to 5,974.41, 8,259.12 and 5,476.26 is: 7,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.41 : 8,259.12 = 5,476.26 : x
  2. Step 2: Convert to fraction form
    5,974.41/8,259.12 = 5,476.26/x
  3. Step 3: Cross multiply
    5,974.41x = 8,259.12 × 5,476.26
  4. Step 4: Simplify right side
    5,974.41x = 45,229,088.49
  5. Step 5: Solve for x
    x = 45,229,088.49/5,974.41
  6. Step 6: Final answer
    x = 7,570.47

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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.