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Finding the Fourth Proportional to 4,823.16, 7,234.66 and 1,536.22

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Solution

The fourth proportional to 4,823.16, 7,234.66 and 1,536.22 is: 2,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.16 : 7,234.66 = 1,536.22 : x
  2. Step 2: Convert to fraction form
    4,823.16/7,234.66 = 1,536.22/x
  3. Step 3: Cross multiply
    4,823.16x = 7,234.66 × 1,536.22
  4. Step 4: Simplify right side
    4,823.16x = 11,114,029.39
  5. Step 5: Solve for x
    x = 11,114,029.39/4,823.16
  6. Step 6: Final answer
    x = 2,304.30

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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.