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Finding the Fourth Proportional to 6,131.50, 8,461.47 and 3,337

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Solution

The fourth proportional to 6,131.50, 8,461.47 and 3,337 is: 4,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.50 : 8,461.47 = 3,337 : x
  2. Step 2: Convert to fraction form
    6,131.50/8,461.47 = 3,337/x
  3. Step 3: Cross multiply
    6,131.50x = 8,461.47 × 3,337
  4. Step 4: Simplify right side
    6,131.50x = 28,235,925.39
  5. Step 5: Solve for x
    x = 28,235,925.39/6,131.50
  6. Step 6: Final answer
    x = 4,605.06

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Why These Related Problems?

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