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Finding the Fourth Proportional to 3,065.56, 4,228.10 and 2,069.26

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Solution

The fourth proportional to 3,065.56, 4,228.10 and 2,069.26 is: 2,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.56 : 4,228.10 = 2,069.26 : x
  2. Step 2: Convert to fraction form
    3,065.56/4,228.10 = 2,069.26/x
  3. Step 3: Cross multiply
    3,065.56x = 4,228.10 × 2,069.26
  4. Step 4: Simplify right side
    3,065.56x = 8,749,038.21
  5. Step 5: Solve for x
    x = 8,749,038.21/3,065.56
  6. Step 6: Final answer
    x = 2,853.98

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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.