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Finding the Fourth Proportional to 6,038.50, 9,059.19 and 1,934.50

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Solution

The fourth proportional to 6,038.50, 9,059.19 and 1,934.50 is: 2,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.50 : 9,059.19 = 1,934.50 : x
  2. Step 2: Convert to fraction form
    6,038.50/9,059.19 = 1,934.50/x
  3. Step 3: Cross multiply
    6,038.50x = 9,059.19 × 1,934.50
  4. Step 4: Simplify right side
    6,038.50x = 17,525,003.06
  5. Step 5: Solve for x
    x = 17,525,003.06/6,038.50
  6. Step 6: Final answer
    x = 2,902.21

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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.