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Finding the Fourth Proportional to 3,429.65, 4,732.55 and 2,533.86

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Solution

The fourth proportional to 3,429.65, 4,732.55 and 2,533.86 is: 3,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.65 : 4,732.55 = 2,533.86 : x
  2. Step 2: Convert to fraction form
    3,429.65/4,732.55 = 2,533.86/x
  3. Step 3: Cross multiply
    3,429.65x = 4,732.55 × 2,533.86
  4. Step 4: Simplify right side
    3,429.65x = 11,991,619.14
  5. Step 5: Solve for x
    x = 11,991,619.14/3,429.65
  6. Step 6: Final answer
    x = 3,496.46

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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.