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Finding the Fourth Proportional to 5,167.97, 7,733.49 and 4,477.01

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Solution

The fourth proportional to 5,167.97, 7,733.49 and 4,477.01 is: 6,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.97 : 7,733.49 = 4,477.01 : x
  2. Step 2: Convert to fraction form
    5,167.97/7,733.49 = 4,477.01/x
  3. Step 3: Cross multiply
    5,167.97x = 7,733.49 × 4,477.01
  4. Step 4: Simplify right side
    5,167.97x = 34,622,881.79
  5. Step 5: Solve for x
    x = 34,622,881.79/5,167.97
  6. Step 6: Final answer
    x = 6,699.51

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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.