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Finding the Fourth Proportional to 4,824.38, 7,237.14 and 1,536.32

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Solution

The fourth proportional to 4,824.38, 7,237.14 and 1,536.32 is: 2,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.38 : 7,237.14 = 1,536.32 : x
  2. Step 2: Convert to fraction form
    4,824.38/7,237.14 = 1,536.32/x
  3. Step 3: Cross multiply
    4,824.38x = 7,237.14 × 1,536.32
  4. Step 4: Simplify right side
    4,824.38x = 11,118,562.92
  5. Step 5: Solve for x
    x = 11,118,562.92/4,824.38
  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.