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Finding the Fourth Proportional to 5,646.63, 7,790.81 and 3,288.45

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Solution

The fourth proportional to 5,646.63, 7,790.81 and 3,288.45 is: 4,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.63 : 7,790.81 = 3,288.45 : x
  2. Step 2: Convert to fraction form
    5,646.63/7,790.81 = 3,288.45/x
  3. Step 3: Cross multiply
    5,646.63x = 7,790.81 × 3,288.45
  4. Step 4: Simplify right side
    5,646.63x = 25,619,672.70
  5. Step 5: Solve for x
    x = 25,619,672.70/5,646.63
  6. Step 6: Final answer
    x = 4,537.16

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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.