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Finding the Fourth Proportional to 3,840.85, 5,299.48 and 3,000.07

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Solution

The fourth proportional to 3,840.85, 5,299.48 and 3,000.07 is: 4,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.85 : 5,299.48 = 3,000.07 : x
  2. Step 2: Convert to fraction form
    3,840.85/5,299.48 = 3,000.07/x
  3. Step 3: Cross multiply
    3,840.85x = 5,299.48 × 3,000.07
  4. Step 4: Simplify right side
    3,840.85x = 15,898,804.46
  5. Step 5: Solve for x
    x = 15,898,804.46/3,840.85
  6. Step 6: Final answer
    x = 4,139.40

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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.