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Finding the Fourth Proportional to 4,727.28, 7,091.01 and 1,264.50

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Solution

The fourth proportional to 4,727.28, 7,091.01 and 1,264.50 is: 1,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.28 : 7,091.01 = 1,264.50 : x
  2. Step 2: Convert to fraction form
    4,727.28/7,091.01 = 1,264.50/x
  3. Step 3: Cross multiply
    4,727.28x = 7,091.01 × 1,264.50
  4. Step 4: Simplify right side
    4,727.28x = 8,966,582.15
  5. Step 5: Solve for x
    x = 8,966,582.15/4,727.28
  6. Step 6: Final answer
    x = 1,896.77

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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.