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Finding the Fourth Proportional to 6,140.69, 8,471.92 and 3,486.57

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Solution

The fourth proportional to 6,140.69, 8,471.92 and 3,486.57 is: 4,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.69 : 8,471.92 = 3,486.57 : x
  2. Step 2: Convert to fraction form
    6,140.69/8,471.92 = 3,486.57/x
  3. Step 3: Cross multiply
    6,140.69x = 8,471.92 × 3,486.57
  4. Step 4: Simplify right side
    6,140.69x = 29,537,942.11
  5. Step 5: Solve for x
    x = 29,537,942.11/6,140.69
  6. Step 6: Final answer
    x = 4,810.20

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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.