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Finding the Fourth Proportional to 3,506.64, 4,838.96 and 1,934.64

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Solution

The fourth proportional to 3,506.64, 4,838.96 and 1,934.64 is: 2,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.64 : 4,838.96 = 1,934.64 : x
  2. Step 2: Convert to fraction form
    3,506.64/4,838.96 = 1,934.64/x
  3. Step 3: Cross multiply
    3,506.64x = 4,838.96 × 1,934.64
  4. Step 4: Simplify right side
    3,506.64x = 9,361,645.57
  5. Step 5: Solve for x
    x = 9,361,645.57/3,506.64
  6. Step 6: Final answer
    x = 2,669.69

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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.