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Finding the Fourth Proportional to 5,762.86, 8,644.50 and 1,602.94

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Solution

The fourth proportional to 5,762.86, 8,644.50 and 1,602.94 is: 2,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.86 : 8,644.50 = 1,602.94 : x
  2. Step 2: Convert to fraction form
    5,762.86/8,644.50 = 1,602.94/x
  3. Step 3: Cross multiply
    5,762.86x = 8,644.50 × 1,602.94
  4. Step 4: Simplify right side
    5,762.86x = 13,856,614.83
  5. Step 5: Solve for x
    x = 13,856,614.83/5,762.86
  6. Step 6: Final answer
    x = 2,404.47

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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.