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Finding the Fourth Proportional to 5,855.79, 8,077.02 and 3,586.07

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Solution

The fourth proportional to 5,855.79, 8,077.02 and 3,586.07 is: 4,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.79 : 8,077.02 = 3,586.07 : x
  2. Step 2: Convert to fraction form
    5,855.79/8,077.02 = 3,586.07/x
  3. Step 3: Cross multiply
    5,855.79x = 8,077.02 × 3,586.07
  4. Step 4: Simplify right side
    5,855.79x = 28,964,765.86
  5. Step 5: Solve for x
    x = 28,964,765.86/5,855.79
  6. Step 6: Final answer
    x = 4,946.34

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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.