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Finding the Fourth Proportional to 6,878.31, 9,492.08 and 3,734.50

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Solution

The fourth proportional to 6,878.31, 9,492.08 and 3,734.50 is: 5,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.31 : 9,492.08 = 3,734.50 : x
  2. Step 2: Convert to fraction form
    6,878.31/9,492.08 = 3,734.50/x
  3. Step 3: Cross multiply
    6,878.31x = 9,492.08 × 3,734.50
  4. Step 4: Simplify right side
    6,878.31x = 35,448,172.76
  5. Step 5: Solve for x
    x = 35,448,172.76/6,878.31
  6. Step 6: Final answer
    x = 5,153.62

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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.