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Finding the Fourth Proportional to 4,670.87, 7,004.94 and 1,748.49

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Solution

The fourth proportional to 4,670.87, 7,004.94 and 1,748.49 is: 2,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.87 : 7,004.94 = 1,748.49 : x
  2. Step 2: Convert to fraction form
    4,670.87/7,004.94 = 1,748.49/x
  3. Step 3: Cross multiply
    4,670.87x = 7,004.94 × 1,748.49
  4. Step 4: Simplify right side
    4,670.87x = 12,248,074.12
  5. Step 5: Solve for x
    x = 12,248,074.12/4,670.87
  6. Step 6: Final answer
    x = 2,622.23

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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.