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Finding the Fourth Proportional to 4,230.08, 6,345.44 and 1,152

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Solution

The fourth proportional to 4,230.08, 6,345.44 and 1,152 is: 1,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.08 : 6,345.44 = 1,152 : x
  2. Step 2: Convert to fraction form
    4,230.08/6,345.44 = 1,152/x
  3. Step 3: Cross multiply
    4,230.08x = 6,345.44 × 1,152
  4. Step 4: Simplify right side
    4,230.08x = 7,309,946.88
  5. Step 5: Solve for x
    x = 7,309,946.88/4,230.08
  6. Step 6: Final answer
    x = 1,728.09

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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.