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Finding the Fourth Proportional to 3,287.70, 4,801.77 and 3,287.70

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Solution

The fourth proportional to 3,287.70, 4,801.77 and 3,287.70 is: 4,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.70 : 4,801.77 = 3,287.70 : x
  2. Step 2: Convert to fraction form
    3,287.70/4,801.77 = 3,287.70/x
  3. Step 3: Cross multiply
    3,287.70x = 4,801.77 × 3,287.70
  4. Step 4: Simplify right side
    3,287.70x = 15,786,779.23
  5. Step 5: Solve for x
    x = 15,786,779.23/3,287.70
  6. Step 6: Final answer
    x = 4,801.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.