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Finding the Fourth Proportional to 5,237.79, 7,858.04 and 1,539.87

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Solution

The fourth proportional to 5,237.79, 7,858.04 and 1,539.87 is: 2,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.79 : 7,858.04 = 1,539.87 : x
  2. Step 2: Convert to fraction form
    5,237.79/7,858.04 = 1,539.87/x
  3. Step 3: Cross multiply
    5,237.79x = 7,858.04 × 1,539.87
  4. Step 4: Simplify right side
    5,237.79x = 12,100,352.36
  5. Step 5: Solve for x
    x = 12,100,352.36/5,237.79
  6. Step 6: Final answer
    x = 2,310.20

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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.