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Finding the Fourth Proportional to 4,692.47, 7,036.54 and 1,768.91

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Solution

The fourth proportional to 4,692.47, 7,036.54 and 1,768.91 is: 2,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.47 : 7,036.54 = 1,768.91 : x
  2. Step 2: Convert to fraction form
    4,692.47/7,036.54 = 1,768.91/x
  3. Step 3: Cross multiply
    4,692.47x = 7,036.54 × 1,768.91
  4. Step 4: Simplify right side
    4,692.47x = 12,446,966.37
  5. Step 5: Solve for x
    x = 12,446,966.37/4,692.47
  6. Step 6: Final answer
    x = 2,652.54

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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.