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Finding the Fourth Proportional to 4,686, 7,025.76 and 2,837.58

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Solution

The fourth proportional to 4,686, 7,025.76 and 2,837.58 is: 4,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686 : 7,025.76 = 2,837.58 : x
  2. Step 2: Convert to fraction form
    4,686/7,025.76 = 2,837.58/x
  3. Step 3: Cross multiply
    4,686x = 7,025.76 × 2,837.58
  4. Step 4: Simplify right side
    4,686x = 19,936,156.06
  5. Step 5: Solve for x
    x = 19,936,156.06/4,686
  6. Step 6: Final answer
    x = 4,254.41

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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.