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Finding the Fourth Proportional to 5,762.48, 8,638.65 and 3,416.72

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Solution

The fourth proportional to 5,762.48, 8,638.65 and 3,416.72 is: 5,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.48 : 8,638.65 = 3,416.72 : x
  2. Step 2: Convert to fraction form
    5,762.48/8,638.65 = 3,416.72/x
  3. Step 3: Cross multiply
    5,762.48x = 8,638.65 × 3,416.72
  4. Step 4: Simplify right side
    5,762.48x = 29,515,805.03
  5. Step 5: Solve for x
    x = 29,515,805.03/5,762.48
  6. Step 6: Final answer
    x = 5,122.07

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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.