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Finding the Fourth Proportional to 3,385.59, 5,065.02 and 3,178.23

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Solution

The fourth proportional to 3,385.59, 5,065.02 and 3,178.23 is: 4,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.59 : 5,065.02 = 3,178.23 : x
  2. Step 2: Convert to fraction form
    3,385.59/5,065.02 = 3,178.23/x
  3. Step 3: Cross multiply
    3,385.59x = 5,065.02 × 3,178.23
  4. Step 4: Simplify right side
    3,385.59x = 16,097,798.51
  5. Step 5: Solve for x
    x = 16,097,798.51/3,385.59
  6. Step 6: Final answer
    x = 4,754.80

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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.