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Finding the Fourth Proportional to 4,486.85, 6,191.79 and 2,497.40

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Solution

The fourth proportional to 4,486.85, 6,191.79 and 2,497.40 is: 3,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.85 : 6,191.79 = 2,497.40 : x
  2. Step 2: Convert to fraction form
    4,486.85/6,191.79 = 2,497.40/x
  3. Step 3: Cross multiply
    4,486.85x = 6,191.79 × 2,497.40
  4. Step 4: Simplify right side
    4,486.85x = 15,463,382.46
  5. Step 5: Solve for x
    x = 15,463,382.46/4,486.85
  6. Step 6: Final answer
    x = 3,446.38

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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.