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Finding the Fourth Proportional to 5,490.12, 7,561.17 and 4,743.84

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Solution

The fourth proportional to 5,490.12, 7,561.17 and 4,743.84 is: 6,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.12 : 7,561.17 = 4,743.84 : x
  2. Step 2: Convert to fraction form
    5,490.12/7,561.17 = 4,743.84/x
  3. Step 3: Cross multiply
    5,490.12x = 7,561.17 × 4,743.84
  4. Step 4: Simplify right side
    5,490.12x = 35,868,980.69
  5. Step 5: Solve for x
    x = 35,868,980.69/5,490.12
  6. Step 6: Final answer
    x = 6,533.37

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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.