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Finding the Fourth Proportional to 4,940.47, 7,410.70 and 1,477.72

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Solution

The fourth proportional to 4,940.47, 7,410.70 and 1,477.72 is: 2,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.47 : 7,410.70 = 1,477.72 : x
  2. Step 2: Convert to fraction form
    4,940.47/7,410.70 = 1,477.72/x
  3. Step 3: Cross multiply
    4,940.47x = 7,410.70 × 1,477.72
  4. Step 4: Simplify right side
    4,940.47x = 10,950,939.60
  5. Step 5: Solve for x
    x = 10,950,939.60/4,940.47
  6. Step 6: Final answer
    x = 2,216.58

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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.