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Finding the Fourth Proportional to 6,130.70, 8,460.25 and 3,441.98

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Solution

The fourth proportional to 6,130.70, 8,460.25 and 3,441.98 is: 4,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.70 : 8,460.25 = 3,441.98 : x
  2. Step 2: Convert to fraction form
    6,130.70/8,460.25 = 3,441.98/x
  3. Step 3: Cross multiply
    6,130.70x = 8,460.25 × 3,441.98
  4. Step 4: Simplify right side
    6,130.70x = 29,120,023.84
  5. Step 5: Solve for x
    x = 29,120,023.84/6,130.70
  6. Step 6: Final answer
    x = 4,749.87

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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.