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Finding the Fourth Proportional to 4,362.84, 6,546 and 1,589.70

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Solution

The fourth proportional to 4,362.84, 6,546 and 1,589.70 is: 2,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.84 : 6,546 = 1,589.70 : x
  2. Step 2: Convert to fraction form
    4,362.84/6,546 = 1,589.70/x
  3. Step 3: Cross multiply
    4,362.84x = 6,546 × 1,589.70
  4. Step 4: Simplify right side
    4,362.84x = 10,406,176.20
  5. Step 5: Solve for x
    x = 10,406,176.20/4,362.84
  6. Step 6: Final answer
    x = 2,385.18

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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.