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Finding the Fourth Proportional to 5,490.36, 7,572.42 and 3,364.14

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Solution

The fourth proportional to 5,490.36, 7,572.42 and 3,364.14 is: 4,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.36 : 7,572.42 = 3,364.14 : x
  2. Step 2: Convert to fraction form
    5,490.36/7,572.42 = 3,364.14/x
  3. Step 3: Cross multiply
    5,490.36x = 7,572.42 × 3,364.14
  4. Step 4: Simplify right side
    5,490.36x = 25,474,681.02
  5. Step 5: Solve for x
    x = 25,474,681.02/5,490.36
  6. Step 6: Final answer
    x = 4,639.89

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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.