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Finding the Fourth Proportional to 4,662.56, 6,434.28 and 2,646.35

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Solution

The fourth proportional to 4,662.56, 6,434.28 and 2,646.35 is: 3,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.56 : 6,434.28 = 2,646.35 : x
  2. Step 2: Convert to fraction form
    4,662.56/6,434.28 = 2,646.35/x
  3. Step 3: Cross multiply
    4,662.56x = 6,434.28 × 2,646.35
  4. Step 4: Simplify right side
    4,662.56x = 17,027,356.88
  5. Step 5: Solve for x
    x = 17,027,356.88/4,662.56
  6. Step 6: Final answer
    x = 3,651.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.