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Finding the Fourth Proportional to 5,825.85, 8,047.37 and 4,316.48

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Solution

The fourth proportional to 5,825.85, 8,047.37 and 4,316.48 is: 5,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.85 : 8,047.37 = 4,316.48 : x
  2. Step 2: Convert to fraction form
    5,825.85/8,047.37 = 4,316.48/x
  3. Step 3: Cross multiply
    5,825.85x = 8,047.37 × 4,316.48
  4. Step 4: Simplify right side
    5,825.85x = 34,736,249.84
  5. Step 5: Solve for x
    x = 34,736,249.84/5,825.85
  6. Step 6: Final answer
    x = 5,962.43

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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.