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Finding the Fourth Proportional to 5,745.71, 8,579.64 and 4,562.43

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Solution

The fourth proportional to 5,745.71, 8,579.64 and 4,562.43 is: 6,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.71 : 8,579.64 = 4,562.43 : x
  2. Step 2: Convert to fraction form
    5,745.71/8,579.64 = 4,562.43/x
  3. Step 3: Cross multiply
    5,745.71x = 8,579.64 × 4,562.43
  4. Step 4: Simplify right side
    5,745.71x = 39,144,006.93
  5. Step 5: Solve for x
    x = 39,144,006.93/5,745.71
  6. Step 6: Final answer
    x = 6,812.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.