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Finding the Fourth Proportional to 5,282.81, 7,282.76 and 3,602.06

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Solution

The fourth proportional to 5,282.81, 7,282.76 and 3,602.06 is: 4,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.81 : 7,282.76 = 3,602.06 : x
  2. Step 2: Convert to fraction form
    5,282.81/7,282.76 = 3,602.06/x
  3. Step 3: Cross multiply
    5,282.81x = 7,282.76 × 3,602.06
  4. Step 4: Simplify right side
    5,282.81x = 26,232,884.06
  5. Step 5: Solve for x
    x = 26,232,884.06/5,282.81
  6. Step 6: Final answer
    x = 4,965.71

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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.