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Finding the Fourth Proportional to 3,453.77, 4,760.78 and 2,893.25

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Solution

The fourth proportional to 3,453.77, 4,760.78 and 2,893.25 is: 3,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.77 : 4,760.78 = 2,893.25 : x
  2. Step 2: Convert to fraction form
    3,453.77/4,760.78 = 2,893.25/x
  3. Step 3: Cross multiply
    3,453.77x = 4,760.78 × 2,893.25
  4. Step 4: Simplify right side
    3,453.77x = 13,774,088.46
  5. Step 5: Solve for x
    x = 13,774,088.46/3,453.77
  6. Step 6: Final answer
    x = 3,988.14

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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.