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Finding the Fourth Proportional to 5,644.48, 8,461.68 and 2,869.60

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Solution

The fourth proportional to 5,644.48, 8,461.68 and 2,869.60 is: 4,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.48 : 8,461.68 = 2,869.60 : x
  2. Step 2: Convert to fraction form
    5,644.48/8,461.68 = 2,869.60/x
  3. Step 3: Cross multiply
    5,644.48x = 8,461.68 × 2,869.60
  4. Step 4: Simplify right side
    5,644.48x = 24,281,636.93
  5. Step 5: Solve for x
    x = 24,281,636.93/5,644.48
  6. Step 6: Final answer
    x = 4,301.84

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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.