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Finding the Fourth Proportional to 4,188.95, 6,283.25 and 1,069.03

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Solution

The fourth proportional to 4,188.95, 6,283.25 and 1,069.03 is: 1,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.95 : 6,283.25 = 1,069.03 : x
  2. Step 2: Convert to fraction form
    4,188.95/6,283.25 = 1,069.03/x
  3. Step 3: Cross multiply
    4,188.95x = 6,283.25 × 1,069.03
  4. Step 4: Simplify right side
    4,188.95x = 6,716,982.75
  5. Step 5: Solve for x
    x = 6,716,982.75/4,188.95
  6. Step 6: Final answer
    x = 1,603.50

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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.