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Finding the Fourth Proportional to 5,237.76, 7,855.74 and 1,539.90

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Solution

The fourth proportional to 5,237.76, 7,855.74 and 1,539.90 is: 2,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.76 : 7,855.74 = 1,539.90 : x
  2. Step 2: Convert to fraction form
    5,237.76/7,855.74 = 1,539.90/x
  3. Step 3: Cross multiply
    5,237.76x = 7,855.74 × 1,539.90
  4. Step 4: Simplify right side
    5,237.76x = 12,097,054.03
  5. Step 5: Solve for x
    x = 12,097,054.03/5,237.76
  6. Step 6: Final answer
    x = 2,309.59

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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.