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Finding the Fourth Proportional to 5,509.59, 7,602.47 and 3,241.03

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Solution

The fourth proportional to 5,509.59, 7,602.47 and 3,241.03 is: 4,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.59 : 7,602.47 = 3,241.03 : x
  2. Step 2: Convert to fraction form
    5,509.59/7,602.47 = 3,241.03/x
  3. Step 3: Cross multiply
    5,509.59x = 7,602.47 × 3,241.03
  4. Step 4: Simplify right side
    5,509.59x = 24,639,817.14
  5. Step 5: Solve for x
    x = 24,639,817.14/5,509.59
  6. Step 6: Final answer
    x = 4,472.17

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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.