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Finding the Fourth Proportional to 5,461.56, 7,536.84 and 2,977.56

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Solution

The fourth proportional to 5,461.56, 7,536.84 and 2,977.56 is: 4,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.56 : 7,536.84 = 2,977.56 : x
  2. Step 2: Convert to fraction form
    5,461.56/7,536.84 = 2,977.56/x
  3. Step 3: Cross multiply
    5,461.56x = 7,536.84 × 2,977.56
  4. Step 4: Simplify right side
    5,461.56x = 22,441,393.31
  5. Step 5: Solve for x
    x = 22,441,393.31/5,461.56
  6. Step 6: Final answer
    x = 4,108.97

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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.