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Finding the Fourth Proportional to 6,457.08, 8,911.02 and 3,663.48

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Solution

The fourth proportional to 6,457.08, 8,911.02 and 3,663.48 is: 5,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.08 : 8,911.02 = 3,663.48 : x
  2. Step 2: Convert to fraction form
    6,457.08/8,911.02 = 3,663.48/x
  3. Step 3: Cross multiply
    6,457.08x = 8,911.02 × 3,663.48
  4. Step 4: Simplify right side
    6,457.08x = 32,645,343.55
  5. Step 5: Solve for x
    x = 32,645,343.55/6,457.08
  6. Step 6: Final answer
    x = 5,055.74

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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.