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Finding the Fourth Proportional to 3,525.68, 5,281.64 and 1,674.16

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Solution

The fourth proportional to 3,525.68, 5,281.64 and 1,674.16 is: 2,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.68 : 5,281.64 = 1,674.16 : x
  2. Step 2: Convert to fraction form
    3,525.68/5,281.64 = 1,674.16/x
  3. Step 3: Cross multiply
    3,525.68x = 5,281.64 × 1,674.16
  4. Step 4: Simplify right side
    3,525.68x = 8,842,310.42
  5. Step 5: Solve for x
    x = 8,842,310.42/3,525.68
  6. Step 6: Final answer
    x = 2,507.97

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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.