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Finding the Fourth Proportional to 4,164.63, 5,746.25 and 2,486.58

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Solution

The fourth proportional to 4,164.63, 5,746.25 and 2,486.58 is: 3,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.63 : 5,746.25 = 2,486.58 : x
  2. Step 2: Convert to fraction form
    4,164.63/5,746.25 = 2,486.58/x
  3. Step 3: Cross multiply
    4,164.63x = 5,746.25 × 2,486.58
  4. Step 4: Simplify right side
    4,164.63x = 14,288,524.10
  5. Step 5: Solve for x
    x = 14,288,524.10/4,164.63
  6. Step 6: Final answer
    x = 3,430.92

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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.