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Finding the Fourth Proportional to 4,826.64, 7,239.50 and 1,539.15

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Solution

The fourth proportional to 4,826.64, 7,239.50 and 1,539.15 is: 2,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.64 : 7,239.50 = 1,539.15 : x
  2. Step 2: Convert to fraction form
    4,826.64/7,239.50 = 1,539.15/x
  3. Step 3: Cross multiply
    4,826.64x = 7,239.50 × 1,539.15
  4. Step 4: Simplify right side
    4,826.64x = 11,142,668.73
  5. Step 5: Solve for x
    x = 11,142,668.73/4,826.64
  6. Step 6: Final answer
    x = 2,308.58

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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.