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Finding the Fourth Proportional to 6,878.56, 9,492.34 and 3,894.08

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Solution

The fourth proportional to 6,878.56, 9,492.34 and 3,894.08 is: 5,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.56 : 9,492.34 = 3,894.08 : x
  2. Step 2: Convert to fraction form
    6,878.56/9,492.34 = 3,894.08/x
  3. Step 3: Cross multiply
    6,878.56x = 9,492.34 × 3,894.08
  4. Step 4: Simplify right side
    6,878.56x = 36,963,931.35
  5. Step 5: Solve for x
    x = 36,963,931.35/6,878.56
  6. Step 6: Final answer
    x = 5,373.79

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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.