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Finding the Fourth Proportional to 3,615.56, 5,423.63 and 1,536.48

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Solution

The fourth proportional to 3,615.56, 5,423.63 and 1,536.48 is: 2,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.56 : 5,423.63 = 1,536.48 : x
  2. Step 2: Convert to fraction form
    3,615.56/5,423.63 = 1,536.48/x
  3. Step 3: Cross multiply
    3,615.56x = 5,423.63 × 1,536.48
  4. Step 4: Simplify right side
    3,615.56x = 8,333,291.34
  5. Step 5: Solve for x
    x = 8,333,291.34/3,615.56
  6. Step 6: Final answer
    x = 2,304.84

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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.