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Finding the Fourth Proportional to 5,490.95, 7,577.57 and 3,133.31

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Solution

The fourth proportional to 5,490.95, 7,577.57 and 3,133.31 is: 4,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.95 : 7,577.57 = 3,133.31 : x
  2. Step 2: Convert to fraction form
    5,490.95/7,577.57 = 3,133.31/x
  3. Step 3: Cross multiply
    5,490.95x = 7,577.57 × 3,133.31
  4. Step 4: Simplify right side
    5,490.95x = 23,742,822.30
  5. Step 5: Solve for x
    x = 23,742,822.30/5,490.95
  6. Step 6: Final answer
    x = 4,324.00

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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.