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Finding the Fourth Proportional to 6,193.53, 8,548.65 and 3,541.77

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Solution

The fourth proportional to 6,193.53, 8,548.65 and 3,541.77 is: 4,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.53 : 8,548.65 = 3,541.77 : x
  2. Step 2: Convert to fraction form
    6,193.53/8,548.65 = 3,541.77/x
  3. Step 3: Cross multiply
    6,193.53x = 8,548.65 × 3,541.77
  4. Step 4: Simplify right side
    6,193.53x = 30,277,352.11
  5. Step 5: Solve for x
    x = 30,277,352.11/6,193.53
  6. Step 6: Final answer
    x = 4,888.55

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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.