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Finding the Fourth Proportional to 5,384.70, 7,430.93 and 3,027.06

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Solution

The fourth proportional to 5,384.70, 7,430.93 and 3,027.06 is: 4,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.70 : 7,430.93 = 3,027.06 : x
  2. Step 2: Convert to fraction form
    5,384.70/7,430.93 = 3,027.06/x
  3. Step 3: Cross multiply
    5,384.70x = 7,430.93 × 3,027.06
  4. Step 4: Simplify right side
    5,384.70x = 22,493,870.97
  5. Step 5: Solve for x
    x = 22,493,870.97/5,384.70
  6. Step 6: Final answer
    x = 4,177.37

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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.