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Finding the Fourth Proportional to 5,753.28, 7,928.64 and 4,807.20

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Solution

The fourth proportional to 5,753.28, 7,928.64 and 4,807.20 is: 6,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.28 : 7,928.64 = 4,807.20 : x
  2. Step 2: Convert to fraction form
    5,753.28/7,928.64 = 4,807.20/x
  3. Step 3: Cross multiply
    5,753.28x = 7,928.64 × 4,807.20
  4. Step 4: Simplify right side
    5,753.28x = 38,114,558.21
  5. Step 5: Solve for x
    x = 38,114,558.21/5,753.28
  6. Step 6: Final answer
    x = 6,624.84

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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.