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Finding the Fourth Proportional to 6,111.64, 8,433.40 and 3,459

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Solution

The fourth proportional to 6,111.64, 8,433.40 and 3,459 is: 4,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.64 : 8,433.40 = 3,459 : x
  2. Step 2: Convert to fraction form
    6,111.64/8,433.40 = 3,459/x
  3. Step 3: Cross multiply
    6,111.64x = 8,433.40 × 3,459
  4. Step 4: Simplify right side
    6,111.64x = 29,171,130.60
  5. Step 5: Solve for x
    x = 29,171,130.60/6,111.64
  6. Step 6: Final answer
    x = 4,773.04

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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.