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Finding the Fourth Proportional to 4,692.36, 7,038.53 and 1,182.38

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Solution

The fourth proportional to 4,692.36, 7,038.53 and 1,182.38 is: 1,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.36 : 7,038.53 = 1,182.38 : x
  2. Step 2: Convert to fraction form
    4,692.36/7,038.53 = 1,182.38/x
  3. Step 3: Cross multiply
    4,692.36x = 7,038.53 × 1,182.38
  4. Step 4: Simplify right side
    4,692.36x = 8,322,220.02
  5. Step 5: Solve for x
    x = 8,322,220.02/4,692.36
  6. Step 6: Final answer
    x = 1,773.57

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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.