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Finding the Fourth Proportional to 4,052.79, 6,076.20 and 1,586.34

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Solution

The fourth proportional to 4,052.79, 6,076.20 and 1,586.34 is: 2,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.79 : 6,076.20 = 1,586.34 : x
  2. Step 2: Convert to fraction form
    4,052.79/6,076.20 = 1,586.34/x
  3. Step 3: Cross multiply
    4,052.79x = 6,076.20 × 1,586.34
  4. Step 4: Simplify right side
    4,052.79x = 9,638,919.11
  5. Step 5: Solve for x
    x = 9,638,919.11/4,052.79
  6. Step 6: Final answer
    x = 2,378.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.