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Finding the Fourth Proportional to 5,051.44, 6,969.28 and 3,061.20

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Solution

The fourth proportional to 5,051.44, 6,969.28 and 3,061.20 is: 4,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.44 : 6,969.28 = 3,061.20 : x
  2. Step 2: Convert to fraction form
    5,051.44/6,969.28 = 3,061.20/x
  3. Step 3: Cross multiply
    5,051.44x = 6,969.28 × 3,061.20
  4. Step 4: Simplify right side
    5,051.44x = 21,334,359.94
  5. Step 5: Solve for x
    x = 21,334,359.94/5,051.44
  6. Step 6: Final answer
    x = 4,223.42

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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.