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Finding the Fourth Proportional to 4,830.24, 7,245.30 and 3,349.02

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Solution

The fourth proportional to 4,830.24, 7,245.30 and 3,349.02 is: 5,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.24 : 7,245.30 = 3,349.02 : x
  2. Step 2: Convert to fraction form
    4,830.24/7,245.30 = 3,349.02/x
  3. Step 3: Cross multiply
    4,830.24x = 7,245.30 × 3,349.02
  4. Step 4: Simplify right side
    4,830.24x = 24,264,654.61
  5. Step 5: Solve for x
    x = 24,264,654.61/4,830.24
  6. Step 6: Final answer
    x = 5,023.49

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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.