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Finding the Fourth Proportional to 5,738.50, 8,610.18 and 3,430

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Solution

The fourth proportional to 5,738.50, 8,610.18 and 3,430 is: 5,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.50 : 8,610.18 = 3,430 : x
  2. Step 2: Convert to fraction form
    5,738.50/8,610.18 = 3,430/x
  3. Step 3: Cross multiply
    5,738.50x = 8,610.18 × 3,430
  4. Step 4: Simplify right side
    5,738.50x = 29,532,917.40
  5. Step 5: Solve for x
    x = 29,532,917.40/5,738.50
  6. Step 6: Final answer
    x = 5,146.45

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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.