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Finding the Fourth Proportional to 6,185.76, 8,537.16 and 3,532.56

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Solution

The fourth proportional to 6,185.76, 8,537.16 and 3,532.56 is: 4,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.76 : 8,537.16 = 3,532.56 : x
  2. Step 2: Convert to fraction form
    6,185.76/8,537.16 = 3,532.56/x
  3. Step 3: Cross multiply
    6,185.76x = 8,537.16 × 3,532.56
  4. Step 4: Simplify right side
    6,185.76x = 30,158,029.93
  5. Step 5: Solve for x
    x = 30,158,029.93/6,185.76
  6. Step 6: Final answer
    x = 4,875.40

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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.