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Finding the Fourth Proportional to 5,696.49, 8,527.08 and 5,212.05

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Solution

The fourth proportional to 5,696.49, 8,527.08 and 5,212.05 is: 7,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.49 : 8,527.08 = 5,212.05 : x
  2. Step 2: Convert to fraction form
    5,696.49/8,527.08 = 5,212.05/x
  3. Step 3: Cross multiply
    5,696.49x = 8,527.08 × 5,212.05
  4. Step 4: Simplify right side
    5,696.49x = 44,443,567.31
  5. Step 5: Solve for x
    x = 44,443,567.31/5,696.49
  6. Step 6: Final answer
    x = 7,801.92

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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.