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Finding the Fourth Proportional to 4,823.11, 7,235.81 and 1,536.20

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Solution

The fourth proportional to 4,823.11, 7,235.81 and 1,536.20 is: 2,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.11 : 7,235.81 = 1,536.20 : x
  2. Step 2: Convert to fraction form
    4,823.11/7,235.81 = 1,536.20/x
  3. Step 3: Cross multiply
    4,823.11x = 7,235.81 × 1,536.20
  4. Step 4: Simplify right side
    4,823.11x = 11,115,613.22
  5. Step 5: Solve for x
    x = 11,115,613.22/4,823.11
  6. Step 6: Final answer
    x = 2,304.66

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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.