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Finding the Fourth Proportional to 4,272.57, 5,894.51 and 2,503.53

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Solution

The fourth proportional to 4,272.57, 5,894.51 and 2,503.53 is: 3,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.57 : 5,894.51 = 2,503.53 : x
  2. Step 2: Convert to fraction form
    4,272.57/5,894.51 = 2,503.53/x
  3. Step 3: Cross multiply
    4,272.57x = 5,894.51 × 2,503.53
  4. Step 4: Simplify right side
    4,272.57x = 14,757,070.10
  5. Step 5: Solve for x
    x = 14,757,070.10/4,272.57
  6. Step 6: Final answer
    x = 3,453.91

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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.