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Finding the Fourth Proportional to 3,581.28, 4,941 and 2,088.45

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Solution

The fourth proportional to 3,581.28, 4,941 and 2,088.45 is: 2,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.28 : 4,941 = 2,088.45 : x
  2. Step 2: Convert to fraction form
    3,581.28/4,941 = 2,088.45/x
  3. Step 3: Cross multiply
    3,581.28x = 4,941 × 2,088.45
  4. Step 4: Simplify right side
    3,581.28x = 10,319,031.45
  5. Step 5: Solve for x
    x = 10,319,031.45/3,581.28
  6. Step 6: Final answer
    x = 2,881.38

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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.