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Finding the Fourth Proportional to 5,602.17, 7,730.33 and 3,243.99

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Solution

The fourth proportional to 5,602.17, 7,730.33 and 3,243.99 is: 4,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.17 : 7,730.33 = 3,243.99 : x
  2. Step 2: Convert to fraction form
    5,602.17/7,730.33 = 3,243.99/x
  3. Step 3: Cross multiply
    5,602.17x = 7,730.33 × 3,243.99
  4. Step 4: Simplify right side
    5,602.17x = 25,077,097.00
  5. Step 5: Solve for x
    x = 25,077,097.00/5,602.17
  6. Step 6: Final answer
    x = 4,476.32

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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.