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Finding the Fourth Proportional to 4,362, 6,542.98 and 2,418.32

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Solution

The fourth proportional to 4,362, 6,542.98 and 2,418.32 is: 3,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362 : 6,542.98 = 2,418.32 : x
  2. Step 2: Convert to fraction form
    4,362/6,542.98 = 2,418.32/x
  3. Step 3: Cross multiply
    4,362x = 6,542.98 × 2,418.32
  4. Step 4: Simplify right side
    4,362x = 15,822,980.63
  5. Step 5: Solve for x
    x = 15,822,980.63/4,362
  6. Step 6: Final answer
    x = 3,627.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.