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Finding the Fourth Proportional to 4,654.36, 6,423.06 and 2,664.82

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Solution

The fourth proportional to 4,654.36, 6,423.06 and 2,664.82 is: 3,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.36 : 6,423.06 = 2,664.82 : x
  2. Step 2: Convert to fraction form
    4,654.36/6,423.06 = 2,664.82/x
  3. Step 3: Cross multiply
    4,654.36x = 6,423.06 × 2,664.82
  4. Step 4: Simplify right side
    4,654.36x = 17,116,298.75
  5. Step 5: Solve for x
    x = 17,116,298.75/4,654.36
  6. Step 6: Final answer
    x = 3,677.48

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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.