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Finding the Fourth Proportional to 4,164.84, 5,746.77 and 2,486.21

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Solution

The fourth proportional to 4,164.84, 5,746.77 and 2,486.21 is: 3,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.84 : 5,746.77 = 2,486.21 : x
  2. Step 2: Convert to fraction form
    4,164.84/5,746.77 = 2,486.21/x
  3. Step 3: Cross multiply
    4,164.84x = 5,746.77 × 2,486.21
  4. Step 4: Simplify right side
    4,164.84x = 14,287,648.31
  5. Step 5: Solve for x
    x = 14,287,648.31/4,164.84
  6. Step 6: Final answer
    x = 3,430.54

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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.