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Finding the Fourth Proportional to 4,666.56, 7,000.49 and 1,704.62

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Solution

The fourth proportional to 4,666.56, 7,000.49 and 1,704.62 is: 2,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.56 : 7,000.49 = 1,704.62 : x
  2. Step 2: Convert to fraction form
    4,666.56/7,000.49 = 1,704.62/x
  3. Step 3: Cross multiply
    4,666.56x = 7,000.49 × 1,704.62
  4. Step 4: Simplify right side
    4,666.56x = 11,933,131.74
  5. Step 5: Solve for x
    x = 11,933,131.74/4,666.56
  6. Step 6: Final answer
    x = 2,557.16

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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.