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Finding the Fourth Proportional to 3,674.79, 5,075.23 and 3,200.49

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Solution

The fourth proportional to 3,674.79, 5,075.23 and 3,200.49 is: 4,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.79 : 5,075.23 = 3,200.49 : x
  2. Step 2: Convert to fraction form
    3,674.79/5,075.23 = 3,200.49/x
  3. Step 3: Cross multiply
    3,674.79x = 5,075.23 × 3,200.49
  4. Step 4: Simplify right side
    3,674.79x = 16,243,222.86
  5. Step 5: Solve for x
    x = 16,243,222.86/3,674.79
  6. Step 6: Final answer
    x = 4,420.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.