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Finding the Fourth Proportional to 3,613.02, 5,419.55 and 1,561.02

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Solution

The fourth proportional to 3,613.02, 5,419.55 and 1,561.02 is: 2,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.02 : 5,419.55 = 1,561.02 : x
  2. Step 2: Convert to fraction form
    3,613.02/5,419.55 = 1,561.02/x
  3. Step 3: Cross multiply
    3,613.02x = 5,419.55 × 1,561.02
  4. Step 4: Simplify right side
    3,613.02x = 8,460,025.94
  5. Step 5: Solve for x
    x = 8,460,025.94/3,613.02
  6. Step 6: Final answer
    x = 2,341.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.