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Finding the Fourth Proportional to 4,488.53, 6,735.27 and 2,023.16

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Solution

The fourth proportional to 4,488.53, 6,735.27 and 2,023.16 is: 3,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.53 : 6,735.27 = 2,023.16 : x
  2. Step 2: Convert to fraction form
    4,488.53/6,735.27 = 2,023.16/x
  3. Step 3: Cross multiply
    4,488.53x = 6,735.27 × 2,023.16
  4. Step 4: Simplify right side
    4,488.53x = 13,626,495.18
  5. Step 5: Solve for x
    x = 13,626,495.18/4,488.53
  6. Step 6: Final answer
    x = 3,035.85

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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.