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Finding the Fourth Proportional to 4,742.94, 7,111.53 and 2,692.38

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Solution

The fourth proportional to 4,742.94, 7,111.53 and 2,692.38 is: 4,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.94 : 7,111.53 = 2,692.38 : x
  2. Step 2: Convert to fraction form
    4,742.94/7,111.53 = 2,692.38/x
  3. Step 3: Cross multiply
    4,742.94x = 7,111.53 × 2,692.38
  4. Step 4: Simplify right side
    4,742.94x = 19,146,941.14
  5. Step 5: Solve for x
    x = 19,146,941.14/4,742.94
  6. Step 6: Final answer
    x = 4,036.94

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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.