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Finding the Fourth Proportional to 5,813.64, 8,024.64 and 3,717.78

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Solution

The fourth proportional to 5,813.64, 8,024.64 and 3,717.78 is: 5,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.64 : 8,024.64 = 3,717.78 : x
  2. Step 2: Convert to fraction form
    5,813.64/8,024.64 = 3,717.78/x
  3. Step 3: Cross multiply
    5,813.64x = 8,024.64 × 3,717.78
  4. Step 4: Simplify right side
    5,813.64x = 29,833,846.10
  5. Step 5: Solve for x
    x = 29,833,846.10/5,813.64
  6. Step 6: Final answer
    x = 5,131.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.