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Finding the Fourth Proportional to 5,866.48, 8,094.36 and 4,291.84

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Solution

The fourth proportional to 5,866.48, 8,094.36 and 4,291.84 is: 5,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.48 : 8,094.36 = 4,291.84 : x
  2. Step 2: Convert to fraction form
    5,866.48/8,094.36 = 4,291.84/x
  3. Step 3: Cross multiply
    5,866.48x = 8,094.36 × 4,291.84
  4. Step 4: Simplify right side
    5,866.48x = 34,739,698.02
  5. Step 5: Solve for x
    x = 34,739,698.02/5,866.48
  6. Step 6: Final answer
    x = 5,921.73

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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.