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Finding the Fourth Proportional to 5,175.99, 7,762.89 and 1,477.23

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Solution

The fourth proportional to 5,175.99, 7,762.89 and 1,477.23 is: 2,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.99 : 7,762.89 = 1,477.23 : x
  2. Step 2: Convert to fraction form
    5,175.99/7,762.89 = 1,477.23/x
  3. Step 3: Cross multiply
    5,175.99x = 7,762.89 × 1,477.23
  4. Step 4: Simplify right side
    5,175.99x = 11,467,573.99
  5. Step 5: Solve for x
    x = 11,467,573.99/5,175.99
  6. Step 6: Final answer
    x = 2,215.53

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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.