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Finding the Fourth Proportional to 6,128.50, 8,457.34 and 3,334

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Solution

The fourth proportional to 6,128.50, 8,457.34 and 3,334 is: 4,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.50 : 8,457.34 = 3,334 : x
  2. Step 2: Convert to fraction form
    6,128.50/8,457.34 = 3,334/x
  3. Step 3: Cross multiply
    6,128.50x = 8,457.34 × 3,334
  4. Step 4: Simplify right side
    6,128.50x = 28,196,771.56
  5. Step 5: Solve for x
    x = 28,196,771.56/6,128.50
  6. Step 6: Final answer
    x = 4,600.93

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Why These Related Problems?

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