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Finding the Fourth Proportional to 4,548.94, 6,824.64 and 2,602.54

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Solution

The fourth proportional to 4,548.94, 6,824.64 and 2,602.54 is: 3,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.94 : 6,824.64 = 2,602.54 : x
  2. Step 2: Convert to fraction form
    4,548.94/6,824.64 = 2,602.54/x
  3. Step 3: Cross multiply
    4,548.94x = 6,824.64 × 2,602.54
  4. Step 4: Simplify right side
    4,548.94x = 17,761,398.59
  5. Step 5: Solve for x
    x = 17,761,398.59/4,548.94
  6. Step 6: Final answer
    x = 3,904.51

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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.