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Finding the Fourth Proportional to 5,563.60, 8,347.80 and 2,827.60

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Solution

The fourth proportional to 5,563.60, 8,347.80 and 2,827.60 is: 4,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.60 : 8,347.80 = 2,827.60 : x
  2. Step 2: Convert to fraction form
    5,563.60/8,347.80 = 2,827.60/x
  3. Step 3: Cross multiply
    5,563.60x = 8,347.80 × 2,827.60
  4. Step 4: Simplify right side
    5,563.60x = 23,604,239.28
  5. Step 5: Solve for x
    x = 23,604,239.28/5,563.60
  6. Step 6: Final answer
    x = 4,242.62

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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.