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Finding the Fourth Proportional to 3,599.41, 4,969.34 and 2,603.65

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Solution

The fourth proportional to 3,599.41, 4,969.34 and 2,603.65 is: 3,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.41 : 4,969.34 = 2,603.65 : x
  2. Step 2: Convert to fraction form
    3,599.41/4,969.34 = 2,603.65/x
  3. Step 3: Cross multiply
    3,599.41x = 4,969.34 × 2,603.65
  4. Step 4: Simplify right side
    3,599.41x = 12,938,422.09
  5. Step 5: Solve for x
    x = 12,938,422.09/3,599.41
  6. Step 6: Final answer
    x = 3,594.60

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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.