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Finding the Fourth Proportional to 3,494.90, 4,828.25 and 2,609.16

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Solution

The fourth proportional to 3,494.90, 4,828.25 and 2,609.16 is: 3,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.90 : 4,828.25 = 2,609.16 : x
  2. Step 2: Convert to fraction form
    3,494.90/4,828.25 = 2,609.16/x
  3. Step 3: Cross multiply
    3,494.90x = 4,828.25 × 2,609.16
  4. Step 4: Simplify right side
    3,494.90x = 12,597,683.29
  5. Step 5: Solve for x
    x = 12,597,683.29/3,494.90
  6. Step 6: Final answer
    x = 3,604.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.