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Finding the Fourth Proportional to 4,166.25, 5,749.43 and 2,303.25

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Solution

The fourth proportional to 4,166.25, 5,749.43 and 2,303.25 is: 3,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.25 : 5,749.43 = 2,303.25 : x
  2. Step 2: Convert to fraction form
    4,166.25/5,749.43 = 2,303.25/x
  3. Step 3: Cross multiply
    4,166.25x = 5,749.43 × 2,303.25
  4. Step 4: Simplify right side
    4,166.25x = 13,242,363.13
  5. Step 5: Solve for x
    x = 13,242,363.13/4,166.25
  6. Step 6: Final answer
    x = 3,178.49

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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.