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Finding the Fourth Proportional to 4,238.08, 6,352 and 2,288.64

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Solution

The fourth proportional to 4,238.08, 6,352 and 2,288.64 is: 3,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.08 : 6,352 = 2,288.64 : x
  2. Step 2: Convert to fraction form
    4,238.08/6,352 = 2,288.64/x
  3. Step 3: Cross multiply
    4,238.08x = 6,352 × 2,288.64
  4. Step 4: Simplify right side
    4,238.08x = 14,537,441.28
  5. Step 5: Solve for x
    x = 14,537,441.28/4,238.08
  6. Step 6: Final answer
    x = 3,430.20

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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.