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Finding the Fourth Proportional to 5,752.80, 8,614.80 and 4,600.80

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Solution

The fourth proportional to 5,752.80, 8,614.80 and 4,600.80 is: 6,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.80 : 8,614.80 = 4,600.80 : x
  2. Step 2: Convert to fraction form
    5,752.80/8,614.80 = 4,600.80/x
  3. Step 3: Cross multiply
    5,752.80x = 8,614.80 × 4,600.80
  4. Step 4: Simplify right side
    5,752.80x = 39,634,971.84
  5. Step 5: Solve for x
    x = 39,634,971.84/5,752.80
  6. Step 6: Final answer
    x = 6,889.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.