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Finding the Fourth Proportional to 3,290.94, 4,539.87 and 3,065.40

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Solution

The fourth proportional to 3,290.94, 4,539.87 and 3,065.40 is: 4,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.94 : 4,539.87 = 3,065.40 : x
  2. Step 2: Convert to fraction form
    3,290.94/4,539.87 = 3,065.40/x
  3. Step 3: Cross multiply
    3,290.94x = 4,539.87 × 3,065.40
  4. Step 4: Simplify right side
    3,290.94x = 13,916,517.50
  5. Step 5: Solve for x
    x = 13,916,517.50/3,290.94
  6. Step 6: Final answer
    x = 4,228.74

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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.