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Finding the Fourth Proportional to 4,050, 5,588.99 and 2,281.57

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Solution

The fourth proportional to 4,050, 5,588.99 and 2,281.57 is: 3,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050 : 5,588.99 = 2,281.57 : x
  2. Step 2: Convert to fraction form
    4,050/5,588.99 = 2,281.57/x
  3. Step 3: Cross multiply
    4,050x = 5,588.99 × 2,281.57
  4. Step 4: Simplify right side
    4,050x = 12,751,671.91
  5. Step 5: Solve for x
    x = 12,751,671.91/4,050
  6. Step 6: Final answer
    x = 3,148.56

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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.