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Finding the Fourth Proportional to 4,692.06, 7,036.88 and 1,405.49

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Solution

The fourth proportional to 4,692.06, 7,036.88 and 1,405.49 is: 2,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.06 : 7,036.88 = 1,405.49 : x
  2. Step 2: Convert to fraction form
    4,692.06/7,036.88 = 1,405.49/x
  3. Step 3: Cross multiply
    4,692.06x = 7,036.88 × 1,405.49
  4. Step 4: Simplify right side
    4,692.06x = 9,890,222.26
  5. Step 5: Solve for x
    x = 9,890,222.26/4,692.06
  6. Step 6: Final answer
    x = 2,107.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.