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Finding the Fourth Proportional to 5,537.84, 8,306.80 and 1,642.32

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Solution

The fourth proportional to 5,537.84, 8,306.80 and 1,642.32 is: 2,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.84 : 8,306.80 = 1,642.32 : x
  2. Step 2: Convert to fraction form
    5,537.84/8,306.80 = 1,642.32/x
  3. Step 3: Cross multiply
    5,537.84x = 8,306.80 × 1,642.32
  4. Step 4: Simplify right side
    5,537.84x = 13,642,423.78
  5. Step 5: Solve for x
    x = 13,642,423.78/5,537.84
  6. Step 6: Final answer
    x = 2,463.49

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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.