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Finding the Fourth Proportional to 4,376.50, 6,564.75 and 4,266.34

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Solution

The fourth proportional to 4,376.50, 6,564.75 and 4,266.34 is: 6,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.50 : 6,564.75 = 4,266.34 : x
  2. Step 2: Convert to fraction form
    4,376.50/6,564.75 = 4,266.34/x
  3. Step 3: Cross multiply
    4,376.50x = 6,564.75 × 4,266.34
  4. Step 4: Simplify right side
    4,376.50x = 28,007,455.52
  5. Step 5: Solve for x
    x = 28,007,455.52/4,376.50
  6. Step 6: Final answer
    x = 6,399.51

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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.