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Finding the Fourth Proportional to 4,753.08, 7,124.76 and 1,830.24

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Solution

The fourth proportional to 4,753.08, 7,124.76 and 1,830.24 is: 2,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.08 : 7,124.76 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    4,753.08/7,124.76 = 1,830.24/x
  3. Step 3: Cross multiply
    4,753.08x = 7,124.76 × 1,830.24
  4. Step 4: Simplify right side
    4,753.08x = 13,040,020.74
  5. Step 5: Solve for x
    x = 13,040,020.74/4,753.08
  6. Step 6: Final answer
    x = 2,743.49

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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.