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Finding the Fourth Proportional to 3,782.40, 5,658.75 and 2,486.40

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Solution

The fourth proportional to 3,782.40, 5,658.75 and 2,486.40 is: 3,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.40 : 5,658.75 = 2,486.40 : x
  2. Step 2: Convert to fraction form
    3,782.40/5,658.75 = 2,486.40/x
  3. Step 3: Cross multiply
    3,782.40x = 5,658.75 × 2,486.40
  4. Step 4: Simplify right side
    3,782.40x = 14,069,916
  5. Step 5: Solve for x
    x = 14,069,916/3,782.40
  6. Step 6: Final answer
    x = 3,719.84

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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.