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Finding the Fourth Proportional to 6,131.70, 8,461.63 and 3,442.99

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Solution

The fourth proportional to 6,131.70, 8,461.63 and 3,442.99 is: 4,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.70 : 8,461.63 = 3,442.99 : x
  2. Step 2: Convert to fraction form
    6,131.70/8,461.63 = 3,442.99/x
  3. Step 3: Cross multiply
    6,131.70x = 8,461.63 × 3,442.99
  4. Step 4: Simplify right side
    6,131.70x = 29,133,247.95
  5. Step 5: Solve for x
    x = 29,133,247.95/6,131.70
  6. Step 6: Final answer
    x = 4,751.25

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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.