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Finding the Fourth Proportional to 6,186.58, 8,537.50 and 3,534.00

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Solution

The fourth proportional to 6,186.58, 8,537.50 and 3,534.00 is: 4,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.58 : 8,537.50 = 3,534.00 : x
  2. Step 2: Convert to fraction form
    6,186.58/8,537.50 = 3,534.00/x
  3. Step 3: Cross multiply
    6,186.58x = 8,537.50 × 3,534.00
  4. Step 4: Simplify right side
    6,186.58x = 30,171,497.40
  5. Step 5: Solve for x
    x = 30,171,497.40/6,186.58
  6. Step 6: Final answer
    x = 4,876.93

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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.