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Finding the Fourth Proportional to 4,784.32, 7,174.66 and 3,140.43

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Solution

The fourth proportional to 4,784.32, 7,174.66 and 3,140.43 is: 4,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.32 : 7,174.66 = 3,140.43 : x
  2. Step 2: Convert to fraction form
    4,784.32/7,174.66 = 3,140.43/x
  3. Step 3: Cross multiply
    4,784.32x = 7,174.66 × 3,140.43
  4. Step 4: Simplify right side
    4,784.32x = 22,531,517.50
  5. Step 5: Solve for x
    x = 22,531,517.50/4,784.32
  6. Step 6: Final answer
    x = 4,709.45

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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.