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Finding the Fourth Proportional to 5,177.70, 7,145.42 and 3,054.69

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Solution

The fourth proportional to 5,177.70, 7,145.42 and 3,054.69 is: 4,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.70 : 7,145.42 = 3,054.69 : x
  2. Step 2: Convert to fraction form
    5,177.70/7,145.42 = 3,054.69/x
  3. Step 3: Cross multiply
    5,177.70x = 7,145.42 × 3,054.69
  4. Step 4: Simplify right side
    5,177.70x = 21,827,027.75
  5. Step 5: Solve for x
    x = 21,827,027.75/5,177.70
  6. Step 6: Final answer
    x = 4,215.58

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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.