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Finding the Fourth Proportional to 5,616, 8,424 and 2,328.48

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Solution

The fourth proportional to 5,616, 8,424 and 2,328.48 is: 3,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 8,424 = 2,328.48 : x
  2. Step 2: Convert to fraction form
    5,616/8,424 = 2,328.48/x
  3. Step 3: Cross multiply
    5,616x = 8,424 × 2,328.48
  4. Step 4: Simplify right side
    5,616x = 19,615,115.52
  5. Step 5: Solve for x
    x = 19,615,115.52/5,616
  6. Step 6: Final answer
    x = 3,492.72

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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.