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Finding the Fourth Proportional to 4,498.32, 6,208.14 and 3,834.96

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Solution

The fourth proportional to 4,498.32, 6,208.14 and 3,834.96 is: 5,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.32 : 6,208.14 = 3,834.96 : x
  2. Step 2: Convert to fraction form
    4,498.32/6,208.14 = 3,834.96/x
  3. Step 3: Cross multiply
    4,498.32x = 6,208.14 × 3,834.96
  4. Step 4: Simplify right side
    4,498.32x = 23,807,968.57
  5. Step 5: Solve for x
    x = 23,807,968.57/4,498.32
  6. Step 6: Final answer
    x = 5,292.64

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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.