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Finding the Fourth Proportional to 5,041.49, 6,955.25 and 2,916.63

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Solution

The fourth proportional to 5,041.49, 6,955.25 and 2,916.63 is: 4,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.49 : 6,955.25 = 2,916.63 : x
  2. Step 2: Convert to fraction form
    5,041.49/6,955.25 = 2,916.63/x
  3. Step 3: Cross multiply
    5,041.49x = 6,955.25 × 2,916.63
  4. Step 4: Simplify right side
    5,041.49x = 20,285,856.03
  5. Step 5: Solve for x
    x = 20,285,856.03/5,041.49
  6. Step 6: Final answer
    x = 4,023.79

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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.