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Finding the Fourth Proportional to 4,776.75, 6,589.06 and 3,005.28

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Solution

The fourth proportional to 4,776.75, 6,589.06 and 3,005.28 is: 4,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.75 : 6,589.06 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    4,776.75/6,589.06 = 3,005.28/x
  3. Step 3: Cross multiply
    4,776.75x = 6,589.06 × 3,005.28
  4. Step 4: Simplify right side
    4,776.75x = 19,801,962.72
  5. Step 5: Solve for x
    x = 19,801,962.72/4,776.75
  6. Step 6: Final answer
    x = 4,145.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.