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Finding the Fourth Proportional to 4,372, 6,033.36 and 2,509.12

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Solution

The fourth proportional to 4,372, 6,033.36 and 2,509.12 is: 3,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372 : 6,033.36 = 2,509.12 : x
  2. Step 2: Convert to fraction form
    4,372/6,033.36 = 2,509.12/x
  3. Step 3: Cross multiply
    4,372x = 6,033.36 × 2,509.12
  4. Step 4: Simplify right side
    4,372x = 15,138,424.24
  5. Step 5: Solve for x
    x = 15,138,424.24/4,372
  6. Step 6: Final answer
    x = 3,462.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.