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Finding the Fourth Proportional to 3,754.58, 5,632.02 and 2,878.34

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Solution

The fourth proportional to 3,754.58, 5,632.02 and 2,878.34 is: 4,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.58 : 5,632.02 = 2,878.34 : x
  2. Step 2: Convert to fraction form
    3,754.58/5,632.02 = 2,878.34/x
  3. Step 3: Cross multiply
    3,754.58x = 5,632.02 × 2,878.34
  4. Step 4: Simplify right side
    3,754.58x = 16,210,840.29
  5. Step 5: Solve for x
    x = 16,210,840.29/3,754.58
  6. Step 6: Final answer
    x = 4,317.62

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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.