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Finding the Fourth Proportional to 3,528.84, 4,862.70 and 2,638.20

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Solution

The fourth proportional to 3,528.84, 4,862.70 and 2,638.20 is: 3,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.84 : 4,862.70 = 2,638.20 : x
  2. Step 2: Convert to fraction form
    3,528.84/4,862.70 = 2,638.20/x
  3. Step 3: Cross multiply
    3,528.84x = 4,862.70 × 2,638.20
  4. Step 4: Simplify right side
    3,528.84x = 12,828,775.14
  5. Step 5: Solve for x
    x = 12,828,775.14/3,528.84
  6. Step 6: Final answer
    x = 3,635.41

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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.