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Finding the Fourth Proportional to 5,496.87, 7,586.05 and 3,106.01

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Solution

The fourth proportional to 5,496.87, 7,586.05 and 3,106.01 is: 4,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.87 : 7,586.05 = 3,106.01 : x
  2. Step 2: Convert to fraction form
    5,496.87/7,586.05 = 3,106.01/x
  3. Step 3: Cross multiply
    5,496.87x = 7,586.05 × 3,106.01
  4. Step 4: Simplify right side
    5,496.87x = 23,562,347.16
  5. Step 5: Solve for x
    x = 23,562,347.16/5,496.87
  6. Step 6: Final answer
    x = 4,286.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.