Home / 3,582-4,943.43-2,010.20

Finding the Fourth Proportional to 3,582, 4,943.43 and 2,010.20

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Solution

The fourth proportional to 3,582, 4,943.43 and 2,010.20 is: 2,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582 : 4,943.43 = 2,010.20 : x
  2. Step 2: Convert to fraction form
    3,582/4,943.43 = 2,010.20/x
  3. Step 3: Cross multiply
    3,582x = 4,943.43 × 2,010.20
  4. Step 4: Simplify right side
    3,582x = 9,937,258.27
  5. Step 5: Solve for x
    x = 9,937,258.27/3,582
  6. Step 6: Final answer
    x = 2,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.