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Finding the Fourth Proportional to 4,828.43, 7,239.11 and 1,539.63

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Solution

The fourth proportional to 4,828.43, 7,239.11 and 1,539.63 is: 2,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.43 : 7,239.11 = 1,539.63 : x
  2. Step 2: Convert to fraction form
    4,828.43/7,239.11 = 1,539.63/x
  3. Step 3: Cross multiply
    4,828.43x = 7,239.11 × 1,539.63
  4. Step 4: Simplify right side
    4,828.43x = 11,145,543.23
  5. Step 5: Solve for x
    x = 11,145,543.23/4,828.43
  6. Step 6: Final answer
    x = 2,308.32

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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.