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Finding the Fourth Proportional to 3,678.40, 5,507.88 and 3,241

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Solution

The fourth proportional to 3,678.40, 5,507.88 and 3,241 is: 4,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.40 : 5,507.88 = 3,241 : x
  2. Step 2: Convert to fraction form
    3,678.40/5,507.88 = 3,241/x
  3. Step 3: Cross multiply
    3,678.40x = 5,507.88 × 3,241
  4. Step 4: Simplify right side
    3,678.40x = 17,851,039.08
  5. Step 5: Solve for x
    x = 17,851,039.08/3,678.40
  6. Step 6: Final answer
    x = 4,852.94

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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.