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Finding the Fourth Proportional to 5,602.24, 8,405.20 and 2,827.60

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Solution

The fourth proportional to 5,602.24, 8,405.20 and 2,827.60 is: 4,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.24 : 8,405.20 = 2,827.60 : x
  2. Step 2: Convert to fraction form
    5,602.24/8,405.20 = 2,827.60/x
  3. Step 3: Cross multiply
    5,602.24x = 8,405.20 × 2,827.60
  4. Step 4: Simplify right side
    5,602.24x = 23,766,543.52
  5. Step 5: Solve for x
    x = 23,766,543.52/5,602.24
  6. Step 6: Final answer
    x = 4,242.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.