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Finding the Fourth Proportional to 3,385.02, 4,674.51 and 3,200.94

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Solution

The fourth proportional to 3,385.02, 4,674.51 and 3,200.94 is: 4,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.02 : 4,674.51 = 3,200.94 : x
  2. Step 2: Convert to fraction form
    3,385.02/4,674.51 = 3,200.94/x
  3. Step 3: Cross multiply
    3,385.02x = 4,674.51 × 3,200.94
  4. Step 4: Simplify right side
    3,385.02x = 14,962,826.04
  5. Step 5: Solve for x
    x = 14,962,826.04/3,385.02
  6. Step 6: Final answer
    x = 4,420.31

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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.