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Finding the Fourth Proportional to 4,953.91, 6,830.41 and 4,280.49

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Solution

The fourth proportional to 4,953.91, 6,830.41 and 4,280.49 is: 5,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.91 : 6,830.41 = 4,280.49 : x
  2. Step 2: Convert to fraction form
    4,953.91/6,830.41 = 4,280.49/x
  3. Step 3: Cross multiply
    4,953.91x = 6,830.41 × 4,280.49
  4. Step 4: Simplify right side
    4,953.91x = 29,237,480.30
  5. Step 5: Solve for x
    x = 29,237,480.30/4,953.91
  6. Step 6: Final answer
    x = 5,901.91

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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.