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Finding the Fourth Proportional to 6,185.64, 8,537.40 and 3,532.80

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Solution

The fourth proportional to 6,185.64, 8,537.40 and 3,532.80 is: 4,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.64 : 8,537.40 = 3,532.80 : x
  2. Step 2: Convert to fraction form
    6,185.64/8,537.40 = 3,532.80/x
  3. Step 3: Cross multiply
    6,185.64x = 8,537.40 × 3,532.80
  4. Step 4: Simplify right side
    6,185.64x = 30,160,926.72
  5. Step 5: Solve for x
    x = 30,160,926.72/6,185.64
  6. Step 6: Final answer
    x = 4,875.96

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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.