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Finding the Fourth Proportional to 6,017.34, 8,303.90 and 3,364.78

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Solution

The fourth proportional to 6,017.34, 8,303.90 and 3,364.78 is: 4,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.34 : 8,303.90 = 3,364.78 : x
  2. Step 2: Convert to fraction form
    6,017.34/8,303.90 = 3,364.78/x
  3. Step 3: Cross multiply
    6,017.34x = 8,303.90 × 3,364.78
  4. Step 4: Simplify right side
    6,017.34x = 27,940,796.64
  5. Step 5: Solve for x
    x = 27,940,796.64/6,017.34
  6. Step 6: Final answer
    x = 4,643.38

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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.