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Finding the Fourth Proportional to 5,164.76, 7,745.20 and 1,877.04

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Solution

The fourth proportional to 5,164.76, 7,745.20 and 1,877.04 is: 2,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.76 : 7,745.20 = 1,877.04 : x
  2. Step 2: Convert to fraction form
    5,164.76/7,745.20 = 1,877.04/x
  3. Step 3: Cross multiply
    5,164.76x = 7,745.20 × 1,877.04
  4. Step 4: Simplify right side
    5,164.76x = 14,538,050.21
  5. Step 5: Solve for x
    x = 14,538,050.21/5,164.76
  6. Step 6: Final answer
    x = 2,814.85

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1.5x scale

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.