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Finding the Fourth Proportional to 4,670.21, 7,005.06 and 1,748.27

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Solution

The fourth proportional to 4,670.21, 7,005.06 and 1,748.27 is: 2,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.21 : 7,005.06 = 1,748.27 : x
  2. Step 2: Convert to fraction form
    4,670.21/7,005.06 = 1,748.27/x
  3. Step 3: Cross multiply
    4,670.21x = 7,005.06 × 1,748.27
  4. Step 4: Simplify right side
    4,670.21x = 12,246,736.25
  5. Step 5: Solve for x
    x = 12,246,736.25/4,670.21
  6. Step 6: Final answer
    x = 2,622.31

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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.