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Finding the Fourth Proportional to 5,866.84, 8,076.18 and 4,536.28

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Solution

The fourth proportional to 5,866.84, 8,076.18 and 4,536.28 is: 6,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.84 : 8,076.18 = 4,536.28 : x
  2. Step 2: Convert to fraction form
    5,866.84/8,076.18 = 4,536.28/x
  3. Step 3: Cross multiply
    5,866.84x = 8,076.18 × 4,536.28
  4. Step 4: Simplify right side
    5,866.84x = 36,635,813.81
  5. Step 5: Solve for x
    x = 36,635,813.81/5,866.84
  6. Step 6: Final answer
    x = 6,244.56

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