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Finding the Fourth Proportional to 5,956.25, 8,941.39 and 3,492.95

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Solution

The fourth proportional to 5,956.25, 8,941.39 and 3,492.95 is: 5,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.25 : 8,941.39 = 3,492.95 : x
  2. Step 2: Convert to fraction form
    5,956.25/8,941.39 = 3,492.95/x
  3. Step 3: Cross multiply
    5,956.25x = 8,941.39 × 3,492.95
  4. Step 4: Simplify right side
    5,956.25x = 31,231,774.76
  5. Step 5: Solve for x
    x = 31,231,774.76/5,956.25
  6. Step 6: Final answer
    x = 5,243.53

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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.