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Finding the Fourth Proportional to 4,164.11, 5,746.60 and 2,275.86

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Solution

The fourth proportional to 4,164.11, 5,746.60 and 2,275.86 is: 3,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.11 : 5,746.60 = 2,275.86 : x
  2. Step 2: Convert to fraction form
    4,164.11/5,746.60 = 2,275.86/x
  3. Step 3: Cross multiply
    4,164.11x = 5,746.60 × 2,275.86
  4. Step 4: Simplify right side
    4,164.11x = 13,078,457.08
  5. Step 5: Solve for x
    x = 13,078,457.08/4,164.11
  6. Step 6: Final answer
    x = 3,140.76

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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.