Home / 3,827.85-5,741.30-1,054.76

Finding the Fourth Proportional to 3,827.85, 5,741.30 and 1,054.76

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Solution

The fourth proportional to 3,827.85, 5,741.30 and 1,054.76 is: 1,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.85 : 5,741.30 = 1,054.76 : x
  2. Step 2: Convert to fraction form
    3,827.85/5,741.30 = 1,054.76/x
  3. Step 3: Cross multiply
    3,827.85x = 5,741.30 × 1,054.76
  4. Step 4: Simplify right side
    3,827.85x = 6,055,659.61
  5. Step 5: Solve for x
    x = 6,055,659.61/3,827.85
  6. Step 6: Final answer
    x = 1,582.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.