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Finding the Fourth Proportional to 4,455.84, 6,687.48 and 1,536.20

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Solution

The fourth proportional to 4,455.84, 6,687.48 and 1,536.20 is: 2,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.84 : 6,687.48 = 1,536.20 : x
  2. Step 2: Convert to fraction form
    4,455.84/6,687.48 = 1,536.20/x
  3. Step 3: Cross multiply
    4,455.84x = 6,687.48 × 1,536.20
  4. Step 4: Simplify right side
    4,455.84x = 10,273,273.34
  5. Step 5: Solve for x
    x = 10,273,273.34/4,455.84
  6. Step 6: Final answer
    x = 2,305.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.