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Finding the Fourth Proportional to 4,706.88, 7,060.54 and 2,111.64

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Solution

The fourth proportional to 4,706.88, 7,060.54 and 2,111.64 is: 3,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.88 : 7,060.54 = 2,111.64 : x
  2. Step 2: Convert to fraction form
    4,706.88/7,060.54 = 2,111.64/x
  3. Step 3: Cross multiply
    4,706.88x = 7,060.54 × 2,111.64
  4. Step 4: Simplify right side
    4,706.88x = 14,909,318.69
  5. Step 5: Solve for x
    x = 14,909,318.69/4,706.88
  6. Step 6: Final answer
    x = 3,167.56

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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.