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Finding the Fourth Proportional to 5,244.60, 7,819.35 and 5,107.80

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Solution

The fourth proportional to 5,244.60, 7,819.35 and 5,107.80 is: 7,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.60 : 7,819.35 = 5,107.80 : x
  2. Step 2: Convert to fraction form
    5,244.60/7,819.35 = 5,107.80/x
  3. Step 3: Cross multiply
    5,244.60x = 7,819.35 × 5,107.80
  4. Step 4: Simplify right side
    5,244.60x = 39,939,675.93
  5. Step 5: Solve for x
    x = 39,939,675.93/5,244.60
  6. Step 6: Final answer
    x = 7,615.39

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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.