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Finding the Fourth Proportional to 3,522.84, 4,862.52 and 2,125.68

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Solution

The fourth proportional to 3,522.84, 4,862.52 and 2,125.68 is: 2,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.84 : 4,862.52 = 2,125.68 : x
  2. Step 2: Convert to fraction form
    3,522.84/4,862.52 = 2,125.68/x
  3. Step 3: Cross multiply
    3,522.84x = 4,862.52 × 2,125.68
  4. Step 4: Simplify right side
    3,522.84x = 10,336,161.51
  5. Step 5: Solve for x
    x = 10,336,161.51/3,522.84
  6. Step 6: Final answer
    x = 2,934.04

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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.