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Finding the Fourth Proportional to 5,562.56, 7,676.16 and 3,078.56

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Solution

The fourth proportional to 5,562.56, 7,676.16 and 3,078.56 is: 4,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.56 : 7,676.16 = 3,078.56 : x
  2. Step 2: Convert to fraction form
    5,562.56/7,676.16 = 3,078.56/x
  3. Step 3: Cross multiply
    5,562.56x = 7,676.16 × 3,078.56
  4. Step 4: Simplify right side
    5,562.56x = 23,631,519.13
  5. Step 5: Solve for x
    x = 23,631,519.13/5,562.56
  6. Step 6: Final answer
    x = 4,248.32

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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.