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Finding the Fourth Proportional to 3,917.34, 5,872.03 and 2,457.51

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Solution

The fourth proportional to 3,917.34, 5,872.03 and 2,457.51 is: 3,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.34 : 5,872.03 = 2,457.51 : x
  2. Step 2: Convert to fraction form
    3,917.34/5,872.03 = 2,457.51/x
  3. Step 3: Cross multiply
    3,917.34x = 5,872.03 × 2,457.51
  4. Step 4: Simplify right side
    3,917.34x = 14,430,572.45
  5. Step 5: Solve for x
    x = 14,430,572.45/3,917.34
  6. Step 6: Final answer
    x = 3,683.77

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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.