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Finding the Fourth Proportional to 5,741.64, 8,610.30 and 3,402.16

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Solution

The fourth proportional to 5,741.64, 8,610.30 and 3,402.16 is: 5,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.64 : 8,610.30 = 3,402.16 : x
  2. Step 2: Convert to fraction form
    5,741.64/8,610.30 = 3,402.16/x
  3. Step 3: Cross multiply
    5,741.64x = 8,610.30 × 3,402.16
  4. Step 4: Simplify right side
    5,741.64x = 29,293,618.25
  5. Step 5: Solve for x
    x = 29,293,618.25/5,741.64
  6. Step 6: Final answer
    x = 5,101.96

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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.