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Finding the Fourth Proportional to 5,540.81, 7,646.03 and 3,302.63

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Solution

The fourth proportional to 5,540.81, 7,646.03 and 3,302.63 is: 4,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.81 : 7,646.03 = 3,302.63 : x
  2. Step 2: Convert to fraction form
    5,540.81/7,646.03 = 3,302.63/x
  3. Step 3: Cross multiply
    5,540.81x = 7,646.03 × 3,302.63
  4. Step 4: Simplify right side
    5,540.81x = 25,251,953.32
  5. Step 5: Solve for x
    x = 25,251,953.32/5,540.81
  6. Step 6: Final answer
    x = 4,557.45

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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.