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Finding the Fourth Proportional to 4,367.02, 6,549 and 1,444.54

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Solution

The fourth proportional to 4,367.02, 6,549 and 1,444.54 is: 2,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.02 : 6,549 = 1,444.54 : x
  2. Step 2: Convert to fraction form
    4,367.02/6,549 = 1,444.54/x
  3. Step 3: Cross multiply
    4,367.02x = 6,549 × 1,444.54
  4. Step 4: Simplify right side
    4,367.02x = 9,460,292.46
  5. Step 5: Solve for x
    x = 9,460,292.46/4,367.02
  6. Step 6: Final answer
    x = 2,166.30

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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.