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Finding the Fourth Proportional to 3,522.84, 5,284.53 and 1,790.52

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Solution

The fourth proportional to 3,522.84, 5,284.53 and 1,790.52 is: 2,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.84 : 5,284.53 = 1,790.52 : x
  2. Step 2: Convert to fraction form
    3,522.84/5,284.53 = 1,790.52/x
  3. Step 3: Cross multiply
    3,522.84x = 5,284.53 × 1,790.52
  4. Step 4: Simplify right side
    3,522.84x = 9,462,056.66
  5. Step 5: Solve for x
    x = 9,462,056.66/3,522.84
  6. Step 6: Final answer
    x = 2,685.92

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Why These Related Problems?

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