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Finding the Fourth Proportional to 5,646.33, 8,460.87 and 2,868.84

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Solution

The fourth proportional to 5,646.33, 8,460.87 and 2,868.84 is: 4,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.33 : 8,460.87 = 2,868.84 : x
  2. Step 2: Convert to fraction form
    5,646.33/8,460.87 = 2,868.84/x
  3. Step 3: Cross multiply
    5,646.33x = 8,460.87 × 2,868.84
  4. Step 4: Simplify right side
    5,646.33x = 24,272,882.29
  5. Step 5: Solve for x
    x = 24,272,882.29/5,646.33
  6. Step 6: Final answer
    x = 4,298.88

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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.