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Finding the Fourth Proportional to 3,777.63, 5,663.33 and 1,667.76

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Solution

The fourth proportional to 3,777.63, 5,663.33 and 1,667.76 is: 2,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.63 : 5,663.33 = 1,667.76 : x
  2. Step 2: Convert to fraction form
    3,777.63/5,663.33 = 1,667.76/x
  3. Step 3: Cross multiply
    3,777.63x = 5,663.33 × 1,667.76
  4. Step 4: Simplify right side
    3,777.63x = 9,445,075.24
  5. Step 5: Solve for x
    x = 9,445,075.24/3,777.63
  6. Step 6: Final answer
    x = 2,500.26

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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.