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Finding the Fourth Proportional to 4,378.09, 6,044 and 2,969.23

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Solution

The fourth proportional to 4,378.09, 6,044 and 2,969.23 is: 4,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.09 : 6,044 = 2,969.23 : x
  2. Step 2: Convert to fraction form
    4,378.09/6,044 = 2,969.23/x
  3. Step 3: Cross multiply
    4,378.09x = 6,044 × 2,969.23
  4. Step 4: Simplify right side
    4,378.09x = 17,946,026.12
  5. Step 5: Solve for x
    x = 17,946,026.12/4,378.09
  6. Step 6: Final answer
    x = 4,099.05

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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.