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Finding the Fourth Proportional to 5,602.14, 7,730.37 and 3,243.83

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Solution

The fourth proportional to 5,602.14, 7,730.37 and 3,243.83 is: 4,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.14 : 7,730.37 = 3,243.83 : x
  2. Step 2: Convert to fraction form
    5,602.14/7,730.37 = 3,243.83/x
  3. Step 3: Cross multiply
    5,602.14x = 7,730.37 × 3,243.83
  4. Step 4: Simplify right side
    5,602.14x = 25,075,967.47
  5. Step 5: Solve for x
    x = 25,075,967.47/5,602.14
  6. Step 6: Final answer
    x = 4,476.14

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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.