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Finding the Fourth Proportional to 6,484.50, 8,948.61 and 3,690

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Solution

The fourth proportional to 6,484.50, 8,948.61 and 3,690 is: 5,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.50 : 8,948.61 = 3,690 : x
  2. Step 2: Convert to fraction form
    6,484.50/8,948.61 = 3,690/x
  3. Step 3: Cross multiply
    6,484.50x = 8,948.61 × 3,690
  4. Step 4: Simplify right side
    6,484.50x = 33,020,370.90
  5. Step 5: Solve for x
    x = 33,020,370.90/6,484.50
  6. Step 6: Final answer
    x = 5,092.20

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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.