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Finding the Fourth Proportional to 4,600.94, 6,349.34 and 2,505.07

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Solution

The fourth proportional to 4,600.94, 6,349.34 and 2,505.07 is: 3,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.94 : 6,349.34 = 2,505.07 : x
  2. Step 2: Convert to fraction form
    4,600.94/6,349.34 = 2,505.07/x
  3. Step 3: Cross multiply
    4,600.94x = 6,349.34 × 2,505.07
  4. Step 4: Simplify right side
    4,600.94x = 15,905,496.88
  5. Step 5: Solve for x
    x = 15,905,496.88/4,600.94
  6. Step 6: Final answer
    x = 3,457.01

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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.