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Finding the Fourth Proportional to 6,262, 8,641.70 and 3,429.48

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Solution

The fourth proportional to 6,262, 8,641.70 and 3,429.48 is: 4,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262 : 8,641.70 = 3,429.48 : x
  2. Step 2: Convert to fraction form
    6,262/8,641.70 = 3,429.48/x
  3. Step 3: Cross multiply
    6,262x = 8,641.70 × 3,429.48
  4. Step 4: Simplify right side
    6,262x = 29,636,537.32
  5. Step 5: Solve for x
    x = 29,636,537.32/6,262
  6. Step 6: Final answer
    x = 4,732.76

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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.