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Finding the Fourth Proportional to 4,600.13, 6,340.58 and 3,254

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Solution

The fourth proportional to 4,600.13, 6,340.58 and 3,254 is: 4,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.13 : 6,340.58 = 3,254 : x
  2. Step 2: Convert to fraction form
    4,600.13/6,340.58 = 3,254/x
  3. Step 3: Cross multiply
    4,600.13x = 6,340.58 × 3,254
  4. Step 4: Simplify right side
    4,600.13x = 20,632,247.32
  5. Step 5: Solve for x
    x = 20,632,247.32/4,600.13
  6. Step 6: Final answer
    x = 4,485.14

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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.