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Finding the Fourth Proportional to 4,673.45, 6,448.62 and 2,784.99

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Solution

The fourth proportional to 4,673.45, 6,448.62 and 2,784.99 is: 3,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.45 : 6,448.62 = 2,784.99 : x
  2. Step 2: Convert to fraction form
    4,673.45/6,448.62 = 2,784.99/x
  3. Step 3: Cross multiply
    4,673.45x = 6,448.62 × 2,784.99
  4. Step 4: Simplify right side
    4,673.45x = 17,959,333.05
  5. Step 5: Solve for x
    x = 17,959,333.05/4,673.45
  6. Step 6: Final answer
    x = 3,842.84

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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.