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Finding the Fourth Proportional to 3,613.79, 5,421.51 and 1,533.87

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Solution

The fourth proportional to 3,613.79, 5,421.51 and 1,533.87 is: 2,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.79 : 5,421.51 = 1,533.87 : x
  2. Step 2: Convert to fraction form
    3,613.79/5,421.51 = 1,533.87/x
  3. Step 3: Cross multiply
    3,613.79x = 5,421.51 × 1,533.87
  4. Step 4: Simplify right side
    3,613.79x = 8,315,891.54
  5. Step 5: Solve for x
    x = 8,315,891.54/3,613.79
  6. Step 6: Final answer
    x = 2,301.15

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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.