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Finding the Fourth Proportional to 3,505.94, 5,258.91 and 908.88

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Solution

The fourth proportional to 3,505.94, 5,258.91 and 908.88 is: 1,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.94 : 5,258.91 = 908.88 : x
  2. Step 2: Convert to fraction form
    3,505.94/5,258.91 = 908.88/x
  3. Step 3: Cross multiply
    3,505.94x = 5,258.91 × 908.88
  4. Step 4: Simplify right side
    3,505.94x = 4,779,718.12
  5. Step 5: Solve for x
    x = 4,779,718.12/3,505.94
  6. Step 6: Final answer
    x = 1,363.32

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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.