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Finding the Fourth Proportional to 4,588.54, 6,872.73 and 3,430.78

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Solution

The fourth proportional to 4,588.54, 6,872.73 and 3,430.78 is: 5,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.54 : 6,872.73 = 3,430.78 : x
  2. Step 2: Convert to fraction form
    4,588.54/6,872.73 = 3,430.78/x
  3. Step 3: Cross multiply
    4,588.54x = 6,872.73 × 3,430.78
  4. Step 4: Simplify right side
    4,588.54x = 23,578,824.63
  5. Step 5: Solve for x
    x = 23,578,824.63/4,588.54
  6. Step 6: Final answer
    x = 5,138.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.