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Finding the Fourth Proportional to 3,596.94, 4,962.33 and 2,813.40

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Solution

The fourth proportional to 3,596.94, 4,962.33 and 2,813.40 is: 3,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.94 : 4,962.33 = 2,813.40 : x
  2. Step 2: Convert to fraction form
    3,596.94/4,962.33 = 2,813.40/x
  3. Step 3: Cross multiply
    3,596.94x = 4,962.33 × 2,813.40
  4. Step 4: Simplify right side
    3,596.94x = 13,961,019.22
  5. Step 5: Solve for x
    x = 13,961,019.22/3,596.94
  6. Step 6: Final answer
    x = 3,881.36

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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.