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Finding the Fourth Proportional to 6,193.89, 8,547.57 and 3,541.28

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Solution

The fourth proportional to 6,193.89, 8,547.57 and 3,541.28 is: 4,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.89 : 8,547.57 = 3,541.28 : x
  2. Step 2: Convert to fraction form
    6,193.89/8,547.57 = 3,541.28/x
  3. Step 3: Cross multiply
    6,193.89x = 8,547.57 × 3,541.28
  4. Step 4: Simplify right side
    6,193.89x = 30,269,295.95
  5. Step 5: Solve for x
    x = 30,269,295.95/6,193.89
  6. Step 6: Final answer
    x = 4,886.96

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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.