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Finding the Fourth Proportional to 6,143.51, 8,478.06 and 3,491.80

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Solution

The fourth proportional to 6,143.51, 8,478.06 and 3,491.80 is: 4,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.51 : 8,478.06 = 3,491.80 : x
  2. Step 2: Convert to fraction form
    6,143.51/8,478.06 = 3,491.80/x
  3. Step 3: Cross multiply
    6,143.51x = 8,478.06 × 3,491.80
  4. Step 4: Simplify right side
    6,143.51x = 29,603,689.91
  5. Step 5: Solve for x
    x = 29,603,689.91/6,143.51
  6. Step 6: Final answer
    x = 4,818.69

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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.