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Finding the Fourth Proportional to 4,602.36, 6,893.94 and 2,139.30

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Solution

The fourth proportional to 4,602.36, 6,893.94 and 2,139.30 is: 3,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.36 : 6,893.94 = 2,139.30 : x
  2. Step 2: Convert to fraction form
    4,602.36/6,893.94 = 2,139.30/x
  3. Step 3: Cross multiply
    4,602.36x = 6,893.94 × 2,139.30
  4. Step 4: Simplify right side
    4,602.36x = 14,748,205.84
  5. Step 5: Solve for x
    x = 14,748,205.84/4,602.36
  6. Step 6: Final answer
    x = 3,204.49

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Why These Related Problems?

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