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Finding the Fourth Proportional to 3,402.72, 5,095.20 and 2,852.16

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Solution

The fourth proportional to 3,402.72, 5,095.20 and 2,852.16 is: 4,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.72 : 5,095.20 = 2,852.16 : x
  2. Step 2: Convert to fraction form
    3,402.72/5,095.20 = 2,852.16/x
  3. Step 3: Cross multiply
    3,402.72x = 5,095.20 × 2,852.16
  4. Step 4: Simplify right side
    3,402.72x = 14,532,325.63
  5. Step 5: Solve for x
    x = 14,532,325.63/3,402.72
  6. Step 6: Final answer
    x = 4,270.80

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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.