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Finding the Fourth Proportional to 4,601.34, 6,349.86 and 2,505.42

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Solution

The fourth proportional to 4,601.34, 6,349.86 and 2,505.42 is: 3,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.34 : 6,349.86 = 2,505.42 : x
  2. Step 2: Convert to fraction form
    4,601.34/6,349.86 = 2,505.42/x
  3. Step 3: Cross multiply
    4,601.34x = 6,349.86 × 2,505.42
  4. Step 4: Simplify right side
    4,601.34x = 15,909,066.24
  5. Step 5: Solve for x
    x = 15,909,066.24/4,601.34
  6. Step 6: Final answer
    x = 3,457.49

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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.