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Finding the Fourth Proportional to 4,706.64, 7,061.04 and 2,517.48

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Solution

The fourth proportional to 4,706.64, 7,061.04 and 2,517.48 is: 3,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.64 : 7,061.04 = 2,517.48 : x
  2. Step 2: Convert to fraction form
    4,706.64/7,061.04 = 2,517.48/x
  3. Step 3: Cross multiply
    4,706.64x = 7,061.04 × 2,517.48
  4. Step 4: Simplify right side
    4,706.64x = 17,776,026.98
  5. Step 5: Solve for x
    x = 17,776,026.98/4,706.64
  6. Step 6: Final answer
    x = 3,776.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.