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Finding the Fourth Proportional to 4,673.90, 6,449.72 and 2,905.64

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Solution

The fourth proportional to 4,673.90, 6,449.72 and 2,905.64 is: 4,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.90 : 6,449.72 = 2,905.64 : x
  2. Step 2: Convert to fraction form
    4,673.90/6,449.72 = 2,905.64/x
  3. Step 3: Cross multiply
    4,673.90x = 6,449.72 × 2,905.64
  4. Step 4: Simplify right side
    4,673.90x = 18,740,564.42
  5. Step 5: Solve for x
    x = 18,740,564.42/4,673.90
  6. Step 6: Final answer
    x = 4,009.62

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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.