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Finding the Fourth Proportional to 4,166.51, 5,749.77 and 2,488.90

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Solution

The fourth proportional to 4,166.51, 5,749.77 and 2,488.90 is: 3,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.51 : 5,749.77 = 2,488.90 : x
  2. Step 2: Convert to fraction form
    4,166.51/5,749.77 = 2,488.90/x
  3. Step 3: Cross multiply
    4,166.51x = 5,749.77 × 2,488.90
  4. Step 4: Simplify right side
    4,166.51x = 14,310,568.83
  5. Step 5: Solve for x
    x = 14,310,568.83/4,166.51
  6. Step 6: Final answer
    x = 3,434.67

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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.