Home / 3,827.52-5,741.10-1,054.17

Finding the Fourth Proportional to 3,827.52, 5,741.10 and 1,054.17

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Solution

The fourth proportional to 3,827.52, 5,741.10 and 1,054.17 is: 1,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.52 : 5,741.10 = 1,054.17 : x
  2. Step 2: Convert to fraction form
    3,827.52/5,741.10 = 1,054.17/x
  3. Step 3: Cross multiply
    3,827.52x = 5,741.10 × 1,054.17
  4. Step 4: Simplify right side
    3,827.52x = 6,052,095.39
  5. Step 5: Solve for x
    x = 6,052,095.39/3,827.52
  6. Step 6: Final answer
    x = 1,581.21

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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.