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Finding the Fourth Proportional to 4,727.59, 7,091.39 and 1,264.75

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Solution

The fourth proportional to 4,727.59, 7,091.39 and 1,264.75 is: 1,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.59 : 7,091.39 = 1,264.75 : x
  2. Step 2: Convert to fraction form
    4,727.59/7,091.39 = 1,264.75/x
  3. Step 3: Cross multiply
    4,727.59x = 7,091.39 × 1,264.75
  4. Step 4: Simplify right side
    4,727.59x = 8,968,835.50
  5. Step 5: Solve for x
    x = 8,968,835.50/4,727.59
  6. Step 6: Final answer
    x = 1,897.13

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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.