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Finding the Fourth Proportional to 3,362.88, 4,636.16 and 3,289.28

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Solution

The fourth proportional to 3,362.88, 4,636.16 and 3,289.28 is: 4,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.88 : 4,636.16 = 3,289.28 : x
  2. Step 2: Convert to fraction form
    3,362.88/4,636.16 = 3,289.28/x
  3. Step 3: Cross multiply
    3,362.88x = 4,636.16 × 3,289.28
  4. Step 4: Simplify right side
    3,362.88x = 15,249,628.36
  5. Step 5: Solve for x
    x = 15,249,628.36/3,362.88
  6. Step 6: Final answer
    x = 4,534.69

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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.