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Finding the Fourth Proportional to 4,753.06, 7,126.63 and 1,830.68

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Solution

The fourth proportional to 4,753.06, 7,126.63 and 1,830.68 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.06 : 7,126.63 = 1,830.68 : x
  2. Step 2: Convert to fraction form
    4,753.06/7,126.63 = 1,830.68/x
  3. Step 3: Cross multiply
    4,753.06x = 7,126.63 × 1,830.68
  4. Step 4: Simplify right side
    4,753.06x = 13,046,579.01
  5. Step 5: Solve for x
    x = 13,046,579.01/4,753.06
  6. Step 6: Final answer
    x = 2,744.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.