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Finding the Fourth Proportional to 6,457.01, 8,910.38 and 3,938.72

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Solution

The fourth proportional to 6,457.01, 8,910.38 and 3,938.72 is: 5,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.01 : 8,910.38 = 3,938.72 : x
  2. Step 2: Convert to fraction form
    6,457.01/8,910.38 = 3,938.72/x
  3. Step 3: Cross multiply
    6,457.01x = 8,910.38 × 3,938.72
  4. Step 4: Simplify right side
    6,457.01x = 35,095,427.67
  5. Step 5: Solve for x
    x = 35,095,427.67/6,457.01
  6. Step 6: Final answer
    x = 5,435.25

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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.