Home / 3,828.06-5,742.19-1,054.77

Finding the Fourth Proportional to 3,828.06, 5,742.19 and 1,054.77

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Solution

The fourth proportional to 3,828.06, 5,742.19 and 1,054.77 is: 1,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.06 : 5,742.19 = 1,054.77 : x
  2. Step 2: Convert to fraction form
    3,828.06/5,742.19 = 1,054.77/x
  3. Step 3: Cross multiply
    3,828.06x = 5,742.19 × 1,054.77
  4. Step 4: Simplify right side
    3,828.06x = 6,056,701.83
  5. Step 5: Solve for x
    x = 6,056,701.83/3,828.06
  6. Step 6: Final answer
    x = 1,582.19

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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.