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Finding the Fourth Proportional to 5,669.24, 8,503.87 and 1,720.53

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Solution

The fourth proportional to 5,669.24, 8,503.87 and 1,720.53 is: 2,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.24 : 8,503.87 = 1,720.53 : x
  2. Step 2: Convert to fraction form
    5,669.24/8,503.87 = 1,720.53/x
  3. Step 3: Cross multiply
    5,669.24x = 8,503.87 × 1,720.53
  4. Step 4: Simplify right side
    5,669.24x = 14,631,123.08
  5. Step 5: Solve for x
    x = 14,631,123.08/5,669.24
  6. Step 6: Final answer
    x = 2,580.79

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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.