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Finding the Fourth Proportional to 3,613.68, 5,422.68 and 1,533.60

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Solution

The fourth proportional to 3,613.68, 5,422.68 and 1,533.60 is: 2,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.68 : 5,422.68 = 1,533.60 : x
  2. Step 2: Convert to fraction form
    3,613.68/5,422.68 = 1,533.60/x
  3. Step 3: Cross multiply
    3,613.68x = 5,422.68 × 1,533.60
  4. Step 4: Simplify right side
    3,613.68x = 8,316,222.05
  5. Step 5: Solve for x
    x = 8,316,222.05/3,613.68
  6. Step 6: Final answer
    x = 2,301.32

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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.