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Finding the Fourth Proportional to 5,157.37, 7,734.07 and 1,869.67

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Solution

The fourth proportional to 5,157.37, 7,734.07 and 1,869.67 is: 2,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.37 : 7,734.07 = 1,869.67 : x
  2. Step 2: Convert to fraction form
    5,157.37/7,734.07 = 1,869.67/x
  3. Step 3: Cross multiply
    5,157.37x = 7,734.07 × 1,869.67
  4. Step 4: Simplify right side
    5,157.37x = 14,460,158.66
  5. Step 5: Solve for x
    x = 14,460,158.66/5,157.37
  6. Step 6: Final answer
    x = 2,803.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.