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Finding the Fourth Proportional to 4,289.16, 6,424.68 and 2,728.32

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Solution

The fourth proportional to 4,289.16, 6,424.68 and 2,728.32 is: 4,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.16 : 6,424.68 = 2,728.32 : x
  2. Step 2: Convert to fraction form
    4,289.16/6,424.68 = 2,728.32/x
  3. Step 3: Cross multiply
    4,289.16x = 6,424.68 × 2,728.32
  4. Step 4: Simplify right side
    4,289.16x = 17,528,582.94
  5. Step 5: Solve for x
    x = 17,528,582.94/4,289.16
  6. Step 6: Final answer
    x = 4,086.72

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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.