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Finding the Fourth Proportional to 3,537.63, 4,870.78 and 3,209.58

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Solution

The fourth proportional to 3,537.63, 4,870.78 and 3,209.58 is: 4,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.63 : 4,870.78 = 3,209.58 : x
  2. Step 2: Convert to fraction form
    3,537.63/4,870.78 = 3,209.58/x
  3. Step 3: Cross multiply
    3,537.63x = 4,870.78 × 3,209.58
  4. Step 4: Simplify right side
    3,537.63x = 15,633,150.05
  5. Step 5: Solve for x
    x = 15,633,150.05/3,537.63
  6. Step 6: Final answer
    x = 4,419.10

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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.