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Finding the Fourth Proportional to 4,729.80, 7,059.62 and 4,176.30

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Solution

The fourth proportional to 4,729.80, 7,059.62 and 4,176.30 is: 6,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.80 : 7,059.62 = 4,176.30 : x
  2. Step 2: Convert to fraction form
    4,729.80/7,059.62 = 4,176.30/x
  3. Step 3: Cross multiply
    4,729.80x = 7,059.62 × 4,176.30
  4. Step 4: Simplify right side
    4,729.80x = 29,483,070.12
  5. Step 5: Solve for x
    x = 29,483,070.12/4,729.80
  6. Step 6: Final answer
    x = 6,233.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.