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Finding the Fourth Proportional to 6,107.64, 8,429.10 and 3,455.58

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Solution

The fourth proportional to 6,107.64, 8,429.10 and 3,455.58 is: 4,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.64 : 8,429.10 = 3,455.58 : x
  2. Step 2: Convert to fraction form
    6,107.64/8,429.10 = 3,455.58/x
  3. Step 3: Cross multiply
    6,107.64x = 8,429.10 × 3,455.58
  4. Step 4: Simplify right side
    6,107.64x = 29,127,429.38
  5. Step 5: Solve for x
    x = 29,127,429.38/6,107.64
  6. Step 6: Final answer
    x = 4,769.02

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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.