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Finding the Fourth Proportional to 4,105.60, 6,156.02 and 2,021.06

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Solution

The fourth proportional to 4,105.60, 6,156.02 and 2,021.06 is: 3,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.60 : 6,156.02 = 2,021.06 : x
  2. Step 2: Convert to fraction form
    4,105.60/6,156.02 = 2,021.06/x
  3. Step 3: Cross multiply
    4,105.60x = 6,156.02 × 2,021.06
  4. Step 4: Simplify right side
    4,105.60x = 12,441,685.78
  5. Step 5: Solve for x
    x = 12,441,685.78/4,105.60
  6. Step 6: Final answer
    x = 3,030.42

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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.