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Finding the Fourth Proportional to 4,045, 5,580.81 and 2,276.32

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Solution

The fourth proportional to 4,045, 5,580.81 and 2,276.32 is: 3,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045 : 5,580.81 = 2,276.32 : x
  2. Step 2: Convert to fraction form
    4,045/5,580.81 = 2,276.32/x
  3. Step 3: Cross multiply
    4,045x = 5,580.81 × 2,276.32
  4. Step 4: Simplify right side
    4,045x = 12,703,709.42
  5. Step 5: Solve for x
    x = 12,703,709.42/4,045
  6. Step 6: Final answer
    x = 3,140.60

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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.