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Finding the Fourth Proportional to 4,773, 6,586.74 and 2,677.26

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Solution

The fourth proportional to 4,773, 6,586.74 and 2,677.26 is: 3,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773 : 6,586.74 = 2,677.26 : x
  2. Step 2: Convert to fraction form
    4,773/6,586.74 = 2,677.26/x
  3. Step 3: Cross multiply
    4,773x = 6,586.74 × 2,677.26
  4. Step 4: Simplify right side
    4,773x = 17,634,415.53
  5. Step 5: Solve for x
    x = 17,634,415.53/4,773
  6. Step 6: Final answer
    x = 3,694.62

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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.