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Finding the Fourth Proportional to 5,477.56, 7,559.90 and 3,489

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Solution

The fourth proportional to 5,477.56, 7,559.90 and 3,489 is: 4,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.56 : 7,559.90 = 3,489 : x
  2. Step 2: Convert to fraction form
    5,477.56/7,559.90 = 3,489/x
  3. Step 3: Cross multiply
    5,477.56x = 7,559.90 × 3,489
  4. Step 4: Simplify right side
    5,477.56x = 26,376,491.10
  5. Step 5: Solve for x
    x = 26,376,491.10/5,477.56
  6. Step 6: Final answer
    x = 4,815.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.