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Finding the Fourth Proportional to 4,536.64, 6,802 and 1,905.83

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Solution

The fourth proportional to 4,536.64, 6,802 and 1,905.83 is: 2,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.64 : 6,802 = 1,905.83 : x
  2. Step 2: Convert to fraction form
    4,536.64/6,802 = 1,905.83/x
  3. Step 3: Cross multiply
    4,536.64x = 6,802 × 1,905.83
  4. Step 4: Simplify right side
    4,536.64x = 12,963,455.66
  5. Step 5: Solve for x
    x = 12,963,455.66/4,536.64
  6. Step 6: Final answer
    x = 2,857.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.