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Finding the Fourth Proportional to 5,175.67, 7,763.47 and 1,477.90

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Solution

The fourth proportional to 5,175.67, 7,763.47 and 1,477.90 is: 2,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.67 : 7,763.47 = 1,477.90 : x
  2. Step 2: Convert to fraction form
    5,175.67/7,763.47 = 1,477.90/x
  3. Step 3: Cross multiply
    5,175.67x = 7,763.47 × 1,477.90
  4. Step 4: Simplify right side
    5,175.67x = 11,473,632.31
  5. Step 5: Solve for x
    x = 11,473,632.31/5,175.67
  6. Step 6: Final answer
    x = 2,216.84

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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.