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Finding the Fourth Proportional to 6,093.93, 8,409 and 3,541.29

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Solution

The fourth proportional to 6,093.93, 8,409 and 3,541.29 is: 4,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.93 : 8,409 = 3,541.29 : x
  2. Step 2: Convert to fraction form
    6,093.93/8,409 = 3,541.29/x
  3. Step 3: Cross multiply
    6,093.93x = 8,409 × 3,541.29
  4. Step 4: Simplify right side
    6,093.93x = 29,778,707.61
  5. Step 5: Solve for x
    x = 29,778,707.61/6,093.93
  6. Step 6: Final answer
    x = 4,886.62

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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.