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Finding the Fourth Proportional to 4,668.02, 7,000.65 and 1,745.64

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Solution

The fourth proportional to 4,668.02, 7,000.65 and 1,745.64 is: 2,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.02 : 7,000.65 = 1,745.64 : x
  2. Step 2: Convert to fraction form
    4,668.02/7,000.65 = 1,745.64/x
  3. Step 3: Cross multiply
    4,668.02x = 7,000.65 × 1,745.64
  4. Step 4: Simplify right side
    4,668.02x = 12,220,614.67
  5. Step 5: Solve for x
    x = 12,220,614.67/4,668.02
  6. Step 6: Final answer
    x = 2,617.95

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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.