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Finding the Fourth Proportional to 5,175.36, 7,763.14 and 1,477.71

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Solution

The fourth proportional to 5,175.36, 7,763.14 and 1,477.71 is: 2,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.36 : 7,763.14 = 1,477.71 : x
  2. Step 2: Convert to fraction form
    5,175.36/7,763.14 = 1,477.71/x
  3. Step 3: Cross multiply
    5,175.36x = 7,763.14 × 1,477.71
  4. Step 4: Simplify right side
    5,175.36x = 11,471,671.46
  5. Step 5: Solve for x
    x = 11,471,671.46/5,175.36
  6. Step 6: Final answer
    x = 2,216.59

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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.