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Finding the Fourth Proportional to 4,486.84, 6,191.58 and 2,497.48

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Solution

The fourth proportional to 4,486.84, 6,191.58 and 2,497.48 is: 3,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.84 : 6,191.58 = 2,497.48 : x
  2. Step 2: Convert to fraction form
    4,486.84/6,191.58 = 2,497.48/x
  3. Step 3: Cross multiply
    4,486.84x = 6,191.58 × 2,497.48
  4. Step 4: Simplify right side
    4,486.84x = 15,463,347.22
  5. Step 5: Solve for x
    x = 15,463,347.22/4,486.84
  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.