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Finding the Fourth Proportional to 5,577.18, 7,699.12 and 3,588.90

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Solution

The fourth proportional to 5,577.18, 7,699.12 and 3,588.90 is: 4,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.18 : 7,699.12 = 3,588.90 : x
  2. Step 2: Convert to fraction form
    5,577.18/7,699.12 = 3,588.90/x
  3. Step 3: Cross multiply
    5,577.18x = 7,699.12 × 3,588.90
  4. Step 4: Simplify right side
    5,577.18x = 27,631,371.77
  5. Step 5: Solve for x
    x = 27,631,371.77/5,577.18
  6. Step 6: Final answer
    x = 4,954.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.