Home / 3,827.86-5,740.85-1,054.41

Finding the Fourth Proportional to 3,827.86, 5,740.85 and 1,054.41

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Solution

The fourth proportional to 3,827.86, 5,740.85 and 1,054.41 is: 1,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.86 : 5,740.85 = 1,054.41 : x
  2. Step 2: Convert to fraction form
    3,827.86/5,740.85 = 1,054.41/x
  3. Step 3: Cross multiply
    3,827.86x = 5,740.85 × 1,054.41
  4. Step 4: Simplify right side
    3,827.86x = 6,053,175.67
  5. Step 5: Solve for x
    x = 6,053,175.67/3,827.86
  6. Step 6: Final answer
    x = 1,581.35

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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.