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Finding the Fourth Proportional to 4,129.74, 6,195.58 and 1,356.64

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Solution

The fourth proportional to 4,129.74, 6,195.58 and 1,356.64 is: 2,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.74 : 6,195.58 = 1,356.64 : x
  2. Step 2: Convert to fraction form
    4,129.74/6,195.58 = 1,356.64/x
  3. Step 3: Cross multiply
    4,129.74x = 6,195.58 × 1,356.64
  4. Step 4: Simplify right side
    4,129.74x = 8,405,152.77
  5. Step 5: Solve for x
    x = 8,405,152.77/4,129.74
  6. Step 6: Final answer
    x = 2,035.27

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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.