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Finding the Fourth Proportional to 4,885.71, 6,742.40 and 2,895.94

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Solution

The fourth proportional to 4,885.71, 6,742.40 and 2,895.94 is: 3,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.71 : 6,742.40 = 2,895.94 : x
  2. Step 2: Convert to fraction form
    4,885.71/6,742.40 = 2,895.94/x
  3. Step 3: Cross multiply
    4,885.71x = 6,742.40 × 2,895.94
  4. Step 4: Simplify right side
    4,885.71x = 19,525,571.38
  5. Step 5: Solve for x
    x = 19,525,571.38/4,885.71
  6. Step 6: Final answer
    x = 3,996.47

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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.