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Finding the Fourth Proportional to 5,190.07, 7,812.81 and 4,654.25

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Solution

The fourth proportional to 5,190.07, 7,812.81 and 4,654.25 is: 7,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.07 : 7,812.81 = 4,654.25 : x
  2. Step 2: Convert to fraction form
    5,190.07/7,812.81 = 4,654.25/x
  3. Step 3: Cross multiply
    5,190.07x = 7,812.81 × 4,654.25
  4. Step 4: Simplify right side
    5,190.07x = 36,362,747.67
  5. Step 5: Solve for x
    x = 36,362,747.67/5,190.07
  6. Step 6: Final answer
    x = 7,006.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.