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Finding the Fourth Proportional to 4,164.60, 6,228.53 and 3,705.60

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Solution

The fourth proportional to 4,164.60, 6,228.53 and 3,705.60 is: 5,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.60 : 6,228.53 = 3,705.60 : x
  2. Step 2: Convert to fraction form
    4,164.60/6,228.53 = 3,705.60/x
  3. Step 3: Cross multiply
    4,164.60x = 6,228.53 × 3,705.60
  4. Step 4: Simplify right side
    4,164.60x = 23,080,440.77
  5. Step 5: Solve for x
    x = 23,080,440.77/4,164.60
  6. Step 6: Final answer
    x = 5,542.05

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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.