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Finding the Fourth Proportional to 5,676.80, 7,841.44 and 4,735.64

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Solution

The fourth proportional to 5,676.80, 7,841.44 and 4,735.64 is: 6,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.80 : 7,841.44 = 4,735.64 : x
  2. Step 2: Convert to fraction form
    5,676.80/7,841.44 = 4,735.64/x
  3. Step 3: Cross multiply
    5,676.80x = 7,841.44 × 4,735.64
  4. Step 4: Simplify right side
    5,676.80x = 37,134,236.92
  5. Step 5: Solve for x
    x = 37,134,236.92/5,676.80
  6. Step 6: Final answer
    x = 6,541.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.