Home / 4,046-5,582.87-2,277.57

Finding the Fourth Proportional to 4,046, 5,582.87 and 2,277.57

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Solution

The fourth proportional to 4,046, 5,582.87 and 2,277.57 is: 3,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046 : 5,582.87 = 2,277.57 : x
  2. Step 2: Convert to fraction form
    4,046/5,582.87 = 2,277.57/x
  3. Step 3: Cross multiply
    4,046x = 5,582.87 × 2,277.57
  4. Step 4: Simplify right side
    4,046x = 12,715,377.23
  5. Step 5: Solve for x
    x = 12,715,377.23/4,046
  6. Step 6: Final answer
    x = 3,142.70

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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.