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Finding the Fourth Proportional to 4,867.02, 6,715.71 and 2,770.74

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Solution

The fourth proportional to 4,867.02, 6,715.71 and 2,770.74 is: 3,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.02 : 6,715.71 = 2,770.74 : x
  2. Step 2: Convert to fraction form
    4,867.02/6,715.71 = 2,770.74/x
  3. Step 3: Cross multiply
    4,867.02x = 6,715.71 × 2,770.74
  4. Step 4: Simplify right side
    4,867.02x = 18,607,486.33
  5. Step 5: Solve for x
    x = 18,607,486.33/4,867.02
  6. Step 6: Final answer
    x = 3,823.18

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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.