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Finding the Fourth Proportional to 3,554.84, 5,332.47 and 1,089.68

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Solution

The fourth proportional to 3,554.84, 5,332.47 and 1,089.68 is: 1,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.84 : 5,332.47 = 1,089.68 : x
  2. Step 2: Convert to fraction form
    3,554.84/5,332.47 = 1,089.68/x
  3. Step 3: Cross multiply
    3,554.84x = 5,332.47 × 1,089.68
  4. Step 4: Simplify right side
    3,554.84x = 5,810,659.25
  5. Step 5: Solve for x
    x = 5,810,659.25/3,554.84
  6. Step 6: Final answer
    x = 1,634.58

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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.