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Finding the Fourth Proportional to 3,458.17, 4,762.29 and 3,277.72

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Solution

The fourth proportional to 3,458.17, 4,762.29 and 3,277.72 is: 4,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.17 : 4,762.29 = 3,277.72 : x
  2. Step 2: Convert to fraction form
    3,458.17/4,762.29 = 3,277.72/x
  3. Step 3: Cross multiply
    3,458.17x = 4,762.29 × 3,277.72
  4. Step 4: Simplify right side
    3,458.17x = 15,609,453.18
  5. Step 5: Solve for x
    x = 15,609,453.18/3,458.17
  6. Step 6: Final answer
    x = 4,513.79

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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.