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Finding the Fourth Proportional to 5,237.37, 7,855.20 and 1,539.18

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Solution

The fourth proportional to 5,237.37, 7,855.20 and 1,539.18 is: 2,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.37 : 7,855.20 = 1,539.18 : x
  2. Step 2: Convert to fraction form
    5,237.37/7,855.20 = 1,539.18/x
  3. Step 3: Cross multiply
    5,237.37x = 7,855.20 × 1,539.18
  4. Step 4: Simplify right side
    5,237.37x = 12,090,566.74
  5. Step 5: Solve for x
    x = 12,090,566.74/5,237.37
  6. Step 6: Final answer
    x = 2,308.52

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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.