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Finding the Fourth Proportional to 4,307.34, 5,940.27 and 3,374.22

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Solution

The fourth proportional to 4,307.34, 5,940.27 and 3,374.22 is: 4,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.34 : 5,940.27 = 3,374.22 : x
  2. Step 2: Convert to fraction form
    4,307.34/5,940.27 = 3,374.22/x
  3. Step 3: Cross multiply
    4,307.34x = 5,940.27 × 3,374.22
  4. Step 4: Simplify right side
    4,307.34x = 20,043,777.84
  5. Step 5: Solve for x
    x = 20,043,777.84/4,307.34
  6. Step 6: Final answer
    x = 4,653.40

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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.