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Finding the Fourth Proportional to 5,157.03, 7,734.30 and 2,381.03

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Solution

The fourth proportional to 5,157.03, 7,734.30 and 2,381.03 is: 3,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.03 : 7,734.30 = 2,381.03 : x
  2. Step 2: Convert to fraction form
    5,157.03/7,734.30 = 2,381.03/x
  3. Step 3: Cross multiply
    5,157.03x = 7,734.30 × 2,381.03
  4. Step 4: Simplify right side
    5,157.03x = 18,415,613.71
  5. Step 5: Solve for x
    x = 18,415,613.71/5,157.03
  6. Step 6: Final answer
    x = 3,570.98

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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.