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Finding the Fourth Proportional to 6,292.98, 8,683.56 and 3,641.22

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Solution

The fourth proportional to 6,292.98, 8,683.56 and 3,641.22 is: 5,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.98 : 8,683.56 = 3,641.22 : x
  2. Step 2: Convert to fraction form
    6,292.98/8,683.56 = 3,641.22/x
  3. Step 3: Cross multiply
    6,292.98x = 8,683.56 × 3,641.22
  4. Step 4: Simplify right side
    6,292.98x = 31,618,752.34
  5. Step 5: Solve for x
    x = 31,618,752.34/6,292.98
  6. Step 6: Final answer
    x = 5,024.45

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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.