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Finding the Fourth Proportional to 4,784.64, 7,176.96 and 2,011.32

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Solution

The fourth proportional to 4,784.64, 7,176.96 and 2,011.32 is: 3,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.64 : 7,176.96 = 2,011.32 : x
  2. Step 2: Convert to fraction form
    4,784.64/7,176.96 = 2,011.32/x
  3. Step 3: Cross multiply
    4,784.64x = 7,176.96 × 2,011.32
  4. Step 4: Simplify right side
    4,784.64x = 14,435,163.19
  5. Step 5: Solve for x
    x = 14,435,163.19/4,784.64
  6. Step 6: Final answer
    x = 3,016.98

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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.