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Finding the Fourth Proportional to 3,604, 5,403.84 and 1,262.72

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Solution

The fourth proportional to 3,604, 5,403.84 and 1,262.72 is: 1,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604 : 5,403.84 = 1,262.72 : x
  2. Step 2: Convert to fraction form
    3,604/5,403.84 = 1,262.72/x
  3. Step 3: Cross multiply
    3,604x = 5,403.84 × 1,262.72
  4. Step 4: Simplify right side
    3,604x = 6,823,536.84
  5. Step 5: Solve for x
    x = 6,823,536.84/3,604
  6. Step 6: Final answer
    x = 1,893.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.