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Finding the Fourth Proportional to 6,000.72, 8,275.58 and 3,762.84

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Solution

The fourth proportional to 6,000.72, 8,275.58 and 3,762.84 is: 5,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.72 : 8,275.58 = 3,762.84 : x
  2. Step 2: Convert to fraction form
    6,000.72/8,275.58 = 3,762.84/x
  3. Step 3: Cross multiply
    6,000.72x = 8,275.58 × 3,762.84
  4. Step 4: Simplify right side
    6,000.72x = 31,139,683.45
  5. Step 5: Solve for x
    x = 31,139,683.45/6,000.72
  6. Step 6: Final answer
    x = 5,189.32

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