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Finding the Fourth Proportional to 4,362, 6,035.34 and 3,803.64

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Solution

The fourth proportional to 4,362, 6,035.34 and 3,803.64 is: 5,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362 : 6,035.34 = 3,803.64 : x
  2. Step 2: Convert to fraction form
    4,362/6,035.34 = 3,803.64/x
  3. Step 3: Cross multiply
    4,362x = 6,035.34 × 3,803.64
  4. Step 4: Simplify right side
    4,362x = 22,956,260.64
  5. Step 5: Solve for x
    x = 22,956,260.64/4,362
  6. Step 6: Final answer
    x = 5,262.78

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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.