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Finding the Fourth Proportional to 6,131.34, 8,461.13 and 3,478.77

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Solution

The fourth proportional to 6,131.34, 8,461.13 and 3,478.77 is: 4,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.34 : 8,461.13 = 3,478.77 : x
  2. Step 2: Convert to fraction form
    6,131.34/8,461.13 = 3,478.77/x
  3. Step 3: Cross multiply
    6,131.34x = 8,461.13 × 3,478.77
  4. Step 4: Simplify right side
    6,131.34x = 29,434,307.82
  5. Step 5: Solve for x
    x = 29,434,307.82/6,131.34
  6. Step 6: Final answer
    x = 4,800.63

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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.