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Finding the Fourth Proportional to 4,362.90, 6,022.37 and 2,594.50

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Solution

The fourth proportional to 4,362.90, 6,022.37 and 2,594.50 is: 3,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.90 : 6,022.37 = 2,594.50 : x
  2. Step 2: Convert to fraction form
    4,362.90/6,022.37 = 2,594.50/x
  3. Step 3: Cross multiply
    4,362.90x = 6,022.37 × 2,594.50
  4. Step 4: Simplify right side
    4,362.90x = 15,625,038.97
  5. Step 5: Solve for x
    x = 15,625,038.97/4,362.90
  6. Step 6: Final answer
    x = 3,581.34

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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.