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Finding the Fourth Proportional to 4,007.32, 5,527.32 and 3,676.84

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Solution

The fourth proportional to 4,007.32, 5,527.32 and 3,676.84 is: 5,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.32 : 5,527.32 = 3,676.84 : x
  2. Step 2: Convert to fraction form
    4,007.32/5,527.32 = 3,676.84/x
  3. Step 3: Cross multiply
    4,007.32x = 5,527.32 × 3,676.84
  4. Step 4: Simplify right side
    4,007.32x = 20,323,071.27
  5. Step 5: Solve for x
    x = 20,323,071.27/4,007.32
  6. Step 6: Final answer
    x = 5,071.49

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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.