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Finding the Fourth Proportional to 4,496.58, 6,206.09 and 2,905.20

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Solution

The fourth proportional to 4,496.58, 6,206.09 and 2,905.20 is: 4,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.58 : 6,206.09 = 2,905.20 : x
  2. Step 2: Convert to fraction form
    4,496.58/6,206.09 = 2,905.20/x
  3. Step 3: Cross multiply
    4,496.58x = 6,206.09 × 2,905.20
  4. Step 4: Simplify right side
    4,496.58x = 18,029,918.14
  5. Step 5: Solve for x
    x = 18,029,918.14/4,496.58
  6. Step 6: Final answer
    x = 4,009.70

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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.