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Finding the Fourth Proportional to 5,478.48, 8,216.64 and 1,581.84

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Solution

The fourth proportional to 5,478.48, 8,216.64 and 1,581.84 is: 2,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.48 : 8,216.64 = 1,581.84 : x
  2. Step 2: Convert to fraction form
    5,478.48/8,216.64 = 1,581.84/x
  3. Step 3: Cross multiply
    5,478.48x = 8,216.64 × 1,581.84
  4. Step 4: Simplify right side
    5,478.48x = 12,997,409.82
  5. Step 5: Solve for x
    x = 12,997,409.82/5,478.48
  6. Step 6: Final answer
    x = 2,372.45

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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.