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Finding the Fourth Proportional to 4,601.78, 6,350.42 and 2,505.86

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Solution

The fourth proportional to 4,601.78, 6,350.42 and 2,505.86 is: 3,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.78 : 6,350.42 = 2,505.86 : x
  2. Step 2: Convert to fraction form
    4,601.78/6,350.42 = 2,505.86/x
  3. Step 3: Cross multiply
    4,601.78x = 6,350.42 × 2,505.86
  4. Step 4: Simplify right side
    4,601.78x = 15,913,263.46
  5. Step 5: Solve for x
    x = 15,913,263.46/4,601.78
  6. Step 6: Final answer
    x = 3,458.07

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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.