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Finding the Fourth Proportional to 5,175.01, 7,761.34 and 1,477.14

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Solution

The fourth proportional to 5,175.01, 7,761.34 and 1,477.14 is: 2,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.01 : 7,761.34 = 1,477.14 : x
  2. Step 2: Convert to fraction form
    5,175.01/7,761.34 = 1,477.14/x
  3. Step 3: Cross multiply
    5,175.01x = 7,761.34 × 1,477.14
  4. Step 4: Simplify right side
    5,175.01x = 11,464,585.77
  5. Step 5: Solve for x
    x = 11,464,585.77/5,175.01
  6. Step 6: Final answer
    x = 2,215.37

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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.