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Finding the Fourth Proportional to 4,536.95, 6,807.31 and 1,765.56

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Solution

The fourth proportional to 4,536.95, 6,807.31 and 1,765.56 is: 2,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.95 : 6,807.31 = 1,765.56 : x
  2. Step 2: Convert to fraction form
    4,536.95/6,807.31 = 1,765.56/x
  3. Step 3: Cross multiply
    4,536.95x = 6,807.31 × 1,765.56
  4. Step 4: Simplify right side
    4,536.95x = 12,018,735.36
  5. Step 5: Solve for x
    x = 12,018,735.36/4,536.95
  6. Step 6: Final answer
    x = 2,649.08

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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.