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Finding the Fourth Proportional to 6,118.64, 8,443.88 and 3,466.16

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Solution

The fourth proportional to 6,118.64, 8,443.88 and 3,466.16 is: 4,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.64 : 8,443.88 = 3,466.16 : x
  2. Step 2: Convert to fraction form
    6,118.64/8,443.88 = 3,466.16/x
  3. Step 3: Cross multiply
    6,118.64x = 8,443.88 × 3,466.16
  4. Step 4: Simplify right side
    6,118.64x = 29,267,839.10
  5. Step 5: Solve for x
    x = 29,267,839.10/6,118.64
  6. Step 6: Final answer
    x = 4,783.39

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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.