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Finding the Fourth Proportional to 5,274.40, 7,905.20 and 2,349.60

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Solution

The fourth proportional to 5,274.40, 7,905.20 and 2,349.60 is: 3,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.40 : 7,905.20 = 2,349.60 : x
  2. Step 2: Convert to fraction form
    5,274.40/7,905.20 = 2,349.60/x
  3. Step 3: Cross multiply
    5,274.40x = 7,905.20 × 2,349.60
  4. Step 4: Simplify right side
    5,274.40x = 18,574,057.92
  5. Step 5: Solve for x
    x = 18,574,057.92/5,274.40
  6. Step 6: Final answer
    x = 3,521.55

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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.