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Finding the Fourth Proportional to 4,486.63, 6,191.50 and 2,598.82

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Solution

The fourth proportional to 4,486.63, 6,191.50 and 2,598.82 is: 3,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.63 : 6,191.50 = 2,598.82 : x
  2. Step 2: Convert to fraction form
    4,486.63/6,191.50 = 2,598.82/x
  3. Step 3: Cross multiply
    4,486.63x = 6,191.50 × 2,598.82
  4. Step 4: Simplify right side
    4,486.63x = 16,090,576.39
  5. Step 5: Solve for x
    x = 16,090,576.39/4,486.63
  6. Step 6: Final answer
    x = 3,586.34

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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.