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Finding the Fourth Proportional to 3,357.14, 4,633.13 and 1,865.30

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Solution

The fourth proportional to 3,357.14, 4,633.13 and 1,865.30 is: 2,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.14 : 4,633.13 = 1,865.30 : x
  2. Step 2: Convert to fraction form
    3,357.14/4,633.13 = 1,865.30/x
  3. Step 3: Cross multiply
    3,357.14x = 4,633.13 × 1,865.30
  4. Step 4: Simplify right side
    3,357.14x = 8,642,158.89
  5. Step 5: Solve for x
    x = 8,642,158.89/3,357.14
  6. Step 6: Final answer
    x = 2,574.27

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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.