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Finding the Fourth Proportional to 3,918.76, 5,878.13 and 957.20

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Solution

The fourth proportional to 3,918.76, 5,878.13 and 957.20 is: 1,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.76 : 5,878.13 = 957.20 : x
  2. Step 2: Convert to fraction form
    3,918.76/5,878.13 = 957.20/x
  3. Step 3: Cross multiply
    3,918.76x = 5,878.13 × 957.20
  4. Step 4: Simplify right side
    3,918.76x = 5,626,546.04
  5. Step 5: Solve for x
    x = 5,626,546.04/3,918.76
  6. Step 6: Final answer
    x = 1,435.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.