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Finding the Fourth Proportional to 3,641, 5,024.84 and 2,026.10

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Solution

The fourth proportional to 3,641, 5,024.84 and 2,026.10 is: 2,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641 : 5,024.84 = 2,026.10 : x
  2. Step 2: Convert to fraction form
    3,641/5,024.84 = 2,026.10/x
  3. Step 3: Cross multiply
    3,641x = 5,024.84 × 2,026.10
  4. Step 4: Simplify right side
    3,641x = 10,180,828.32
  5. Step 5: Solve for x
    x = 10,180,828.32/3,641
  6. Step 6: Final answer
    x = 2,796.16

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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.