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Finding the Fourth Proportional to 5,014.86, 7,533.93 and 3,146.49

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Solution

The fourth proportional to 5,014.86, 7,533.93 and 3,146.49 is: 4,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.86 : 7,533.93 = 3,146.49 : x
  2. Step 2: Convert to fraction form
    5,014.86/7,533.93 = 3,146.49/x
  3. Step 3: Cross multiply
    5,014.86x = 7,533.93 × 3,146.49
  4. Step 4: Simplify right side
    5,014.86x = 23,705,435.41
  5. Step 5: Solve for x
    x = 23,705,435.41/5,014.86
  6. Step 6: Final answer
    x = 4,727.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.