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Finding the Fourth Proportional to 5,368.16, 8,050.78 and 1,471.64

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Solution

The fourth proportional to 5,368.16, 8,050.78 and 1,471.64 is: 2,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.16 : 8,050.78 = 1,471.64 : x
  2. Step 2: Convert to fraction form
    5,368.16/8,050.78 = 1,471.64/x
  3. Step 3: Cross multiply
    5,368.16x = 8,050.78 × 1,471.64
  4. Step 4: Simplify right side
    5,368.16x = 11,847,849.88
  5. Step 5: Solve for x
    x = 11,847,849.88/5,368.16
  6. Step 6: Final answer
    x = 2,207.06

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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.