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Finding the Fourth Proportional to 3,376.49, 5,059.91 and 1,523.00

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Solution

The fourth proportional to 3,376.49, 5,059.91 and 1,523.00 is: 2,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.49 : 5,059.91 = 1,523.00 : x
  2. Step 2: Convert to fraction form
    3,376.49/5,059.91 = 1,523.00/x
  3. Step 3: Cross multiply
    3,376.49x = 5,059.91 × 1,523.00
  4. Step 4: Simplify right side
    3,376.49x = 7,706,210.02
  5. Step 5: Solve for x
    x = 7,706,210.02/3,376.49
  6. Step 6: Final answer
    x = 2,282.32

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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.