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Finding the Fourth Proportional to 5,478.48, 8,218.49 and 1,779.53

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Solution

The fourth proportional to 5,478.48, 8,218.49 and 1,779.53 is: 2,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.48 : 8,218.49 = 1,779.53 : x
  2. Step 2: Convert to fraction form
    5,478.48/8,218.49 = 1,779.53/x
  3. Step 3: Cross multiply
    5,478.48x = 8,218.49 × 1,779.53
  4. Step 4: Simplify right side
    5,478.48x = 14,624,999.52
  5. Step 5: Solve for x
    x = 14,624,999.52/5,478.48
  6. Step 6: Final answer
    x = 2,669.54

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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.