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Finding the Fourth Proportional to 4,700.24, 6,486.60 and 2,837.84

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Solution

The fourth proportional to 4,700.24, 6,486.60 and 2,837.84 is: 3,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.24 : 6,486.60 = 2,837.84 : x
  2. Step 2: Convert to fraction form
    4,700.24/6,486.60 = 2,837.84/x
  3. Step 3: Cross multiply
    4,700.24x = 6,486.60 × 2,837.84
  4. Step 4: Simplify right side
    4,700.24x = 18,407,932.94
  5. Step 5: Solve for x
    x = 18,407,932.94/4,700.24
  6. Step 6: Final answer
    x = 3,916.38

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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.