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Finding the Fourth Proportional to 5,420.02, 7,478.64 and 3,181.99

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Solution

The fourth proportional to 5,420.02, 7,478.64 and 3,181.99 is: 4,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.02 : 7,478.64 = 3,181.99 : x
  2. Step 2: Convert to fraction form
    5,420.02/7,478.64 = 3,181.99/x
  3. Step 3: Cross multiply
    5,420.02x = 7,478.64 × 3,181.99
  4. Step 4: Simplify right side
    5,420.02x = 23,796,957.69
  5. Step 5: Solve for x
    x = 23,796,957.69/5,420.02
  6. Step 6: Final answer
    x = 4,390.57

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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.