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Finding the Fourth Proportional to 6,263.19, 8,643.44 and 3,430.38

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Solution

The fourth proportional to 6,263.19, 8,643.44 and 3,430.38 is: 4,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.19 : 8,643.44 = 3,430.38 : x
  2. Step 2: Convert to fraction form
    6,263.19/8,643.44 = 3,430.38/x
  3. Step 3: Cross multiply
    6,263.19x = 8,643.44 × 3,430.38
  4. Step 4: Simplify right side
    6,263.19x = 29,650,324.70
  5. Step 5: Solve for x
    x = 29,650,324.70/6,263.19
  6. Step 6: Final answer
    x = 4,734.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.