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Finding the Fourth Proportional to 6,186.06, 8,536.50 and 3,533.40

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Solution

The fourth proportional to 6,186.06, 8,536.50 and 3,533.40 is: 4,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.06 : 8,536.50 = 3,533.40 : x
  2. Step 2: Convert to fraction form
    6,186.06/8,536.50 = 3,533.40/x
  3. Step 3: Cross multiply
    6,186.06x = 8,536.50 × 3,533.40
  4. Step 4: Simplify right side
    6,186.06x = 30,162,869.10
  5. Step 5: Solve for x
    x = 30,162,869.10/6,186.06
  6. Step 6: Final answer
    x = 4,875.94

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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.