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Finding the Fourth Proportional to 5,748.84, 8,623.62 and 2,286

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Solution

The fourth proportional to 5,748.84, 8,623.62 and 2,286 is: 3,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.84 : 8,623.62 = 2,286 : x
  2. Step 2: Convert to fraction form
    5,748.84/8,623.62 = 2,286/x
  3. Step 3: Cross multiply
    5,748.84x = 8,623.62 × 2,286
  4. Step 4: Simplify right side
    5,748.84x = 19,713,595.32
  5. Step 5: Solve for x
    x = 19,713,595.32/5,748.84
  6. Step 6: Final answer
    x = 3,429.14

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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.