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Finding the Fourth Proportional to 3,588.80, 4,953.12 and 3,354.56

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Solution

The fourth proportional to 3,588.80, 4,953.12 and 3,354.56 is: 4,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.80 : 4,953.12 = 3,354.56 : x
  2. Step 2: Convert to fraction form
    3,588.80/4,953.12 = 3,354.56/x
  3. Step 3: Cross multiply
    3,588.80x = 4,953.12 × 3,354.56
  4. Step 4: Simplify right side
    3,588.80x = 16,615,538.23
  5. Step 5: Solve for x
    x = 16,615,538.23/3,588.80
  6. Step 6: Final answer
    x = 4,629.83

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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.