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Finding the Fourth Proportional to 3,622.94, 4,999.86 and 2,051

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Solution

The fourth proportional to 3,622.94, 4,999.86 and 2,051 is: 2,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.94 : 4,999.86 = 2,051 : x
  2. Step 2: Convert to fraction form
    3,622.94/4,999.86 = 2,051/x
  3. Step 3: Cross multiply
    3,622.94x = 4,999.86 × 2,051
  4. Step 4: Simplify right side
    3,622.94x = 10,254,702.61
  5. Step 5: Solve for x
    x = 10,254,702.61/3,622.94
  6. Step 6: Final answer
    x = 2,830.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.