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Finding the Fourth Proportional to 6,457.56, 8,911.44 and 4,223.22

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Solution

The fourth proportional to 6,457.56, 8,911.44 and 4,223.22 is: 5,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.56 : 8,911.44 = 4,223.22 : x
  2. Step 2: Convert to fraction form
    6,457.56/8,911.44 = 4,223.22/x
  3. Step 3: Cross multiply
    6,457.56x = 8,911.44 × 4,223.22
  4. Step 4: Simplify right side
    6,457.56x = 37,634,971.64
  5. Step 5: Solve for x
    x = 37,634,971.64/6,457.56
  6. Step 6: Final answer
    x = 5,828.05

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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.