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Finding the Fourth Proportional to 4,266.88, 6,400.42 and 1,455.57

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Solution

The fourth proportional to 4,266.88, 6,400.42 and 1,455.57 is: 2,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.88 : 6,400.42 = 1,455.57 : x
  2. Step 2: Convert to fraction form
    4,266.88/6,400.42 = 1,455.57/x
  3. Step 3: Cross multiply
    4,266.88x = 6,400.42 × 1,455.57
  4. Step 4: Simplify right side
    4,266.88x = 9,316,255.70
  5. Step 5: Solve for x
    x = 9,316,255.70/4,266.88
  6. Step 6: Final answer
    x = 2,183.39

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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.