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Finding the Fourth Proportional to 4,472.79, 6,706.53 and 1,699.67

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Solution

The fourth proportional to 4,472.79, 6,706.53 and 1,699.67 is: 2,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.79 : 6,706.53 = 1,699.67 : x
  2. Step 2: Convert to fraction form
    4,472.79/6,706.53 = 1,699.67/x
  3. Step 3: Cross multiply
    4,472.79x = 6,706.53 × 1,699.67
  4. Step 4: Simplify right side
    4,472.79x = 11,398,902.35
  5. Step 5: Solve for x
    x = 11,398,902.35/4,472.79
  6. Step 6: Final answer
    x = 2,548.50

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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.