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Finding the Fourth Proportional to 4,706, 6,494.36 and 3,052.88

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Solution

The fourth proportional to 4,706, 6,494.36 and 3,052.88 is: 4,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706 : 6,494.36 = 3,052.88 : x
  2. Step 2: Convert to fraction form
    4,706/6,494.36 = 3,052.88/x
  3. Step 3: Cross multiply
    4,706x = 6,494.36 × 3,052.88
  4. Step 4: Simplify right side
    4,706x = 19,826,501.76
  5. Step 5: Solve for x
    x = 19,826,501.76/4,706
  6. Step 6: Final answer
    x = 4,213.03

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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.