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Finding the Fourth Proportional to 5,536.63, 8,304.97 and 1,432.63

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Solution

The fourth proportional to 5,536.63, 8,304.97 and 1,432.63 is: 2,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.63 : 8,304.97 = 1,432.63 : x
  2. Step 2: Convert to fraction form
    5,536.63/8,304.97 = 1,432.63/x
  3. Step 3: Cross multiply
    5,536.63x = 8,304.97 × 1,432.63
  4. Step 4: Simplify right side
    5,536.63x = 11,897,904.06
  5. Step 5: Solve for x
    x = 11,897,904.06/5,536.63
  6. Step 6: Final answer
    x = 2,148.95

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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.