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Finding the Fourth Proportional to 5,748.92, 7,924.52 and 4,807.84

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Solution

The fourth proportional to 5,748.92, 7,924.52 and 4,807.84 is: 6,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.92 : 7,924.52 = 4,807.84 : x
  2. Step 2: Convert to fraction form
    5,748.92/7,924.52 = 4,807.84/x
  3. Step 3: Cross multiply
    5,748.92x = 7,924.52 × 4,807.84
  4. Step 4: Simplify right side
    5,748.92x = 38,099,824.24
  5. Step 5: Solve for x
    x = 38,099,824.24/5,748.92
  6. Step 6: Final answer
    x = 6,627.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.