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Finding the Fourth Proportional to 3,855.60, 5,783.34 and 1,258.53

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Solution

The fourth proportional to 3,855.60, 5,783.34 and 1,258.53 is: 1,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.60 : 5,783.34 = 1,258.53 : x
  2. Step 2: Convert to fraction form
    3,855.60/5,783.34 = 1,258.53/x
  3. Step 3: Cross multiply
    3,855.60x = 5,783.34 × 1,258.53
  4. Step 4: Simplify right side
    3,855.60x = 7,278,506.89
  5. Step 5: Solve for x
    x = 7,278,506.89/3,855.60
  6. Step 6: Final answer
    x = 1,887.78

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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.