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Finding the Fourth Proportional to 3,385.06, 4,674.56 and 3,200.98

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Solution

The fourth proportional to 3,385.06, 4,674.56 and 3,200.98 is: 4,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.06 : 4,674.56 = 3,200.98 : x
  2. Step 2: Convert to fraction form
    3,385.06/4,674.56 = 3,200.98/x
  3. Step 3: Cross multiply
    3,385.06x = 4,674.56 × 3,200.98
  4. Step 4: Simplify right side
    3,385.06x = 14,963,173.07
  5. Step 5: Solve for x
    x = 14,963,173.07/3,385.06
  6. Step 6: Final answer
    x = 4,420.36

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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.