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Finding the Fourth Proportional to 4,592.35, 6,338.70 and 4,280.70

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Solution

The fourth proportional to 4,592.35, 6,338.70 and 4,280.70 is: 5,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.35 : 6,338.70 = 4,280.70 : x
  2. Step 2: Convert to fraction form
    4,592.35/6,338.70 = 4,280.70/x
  3. Step 3: Cross multiply
    4,592.35x = 6,338.70 × 4,280.70
  4. Step 4: Simplify right side
    4,592.35x = 27,134,073.09
  5. Step 5: Solve for x
    x = 27,134,073.09/4,592.35
  6. Step 6: Final answer
    x = 5,908.54

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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.