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Finding the Fourth Proportional to 6,402, 8,834.76 and 3,458

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Solution

The fourth proportional to 6,402, 8,834.76 and 3,458 is: 4,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 8,834.76 = 3,458 : x
  2. Step 2: Convert to fraction form
    6,402/8,834.76 = 3,458/x
  3. Step 3: Cross multiply
    6,402x = 8,834.76 × 3,458
  4. Step 4: Simplify right side
    6,402x = 30,550,600.08
  5. Step 5: Solve for x
    x = 30,550,600.08/6,402
  6. Step 6: Final answer
    x = 4,772.04

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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.