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Finding the Fourth Proportional to 6,457.06, 8,910.56 and 3,662.50

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Solution

The fourth proportional to 6,457.06, 8,910.56 and 3,662.50 is: 5,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.06 : 8,910.56 = 3,662.50 : x
  2. Step 2: Convert to fraction form
    6,457.06/8,910.56 = 3,662.50/x
  3. Step 3: Cross multiply
    6,457.06x = 8,910.56 × 3,662.50
  4. Step 4: Simplify right side
    6,457.06x = 32,634,926.00
  5. Step 5: Solve for x
    x = 32,634,926.00/6,457.06
  6. Step 6: Final answer
    x = 5,054.15

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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.