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Finding the Fourth Proportional to 5,212.80, 7,809.12 and 2,897.28

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Solution

The fourth proportional to 5,212.80, 7,809.12 and 2,897.28 is: 4,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.80 : 7,809.12 = 2,897.28 : x
  2. Step 2: Convert to fraction form
    5,212.80/7,809.12 = 2,897.28/x
  3. Step 3: Cross multiply
    5,212.80x = 7,809.12 × 2,897.28
  4. Step 4: Simplify right side
    5,212.80x = 22,625,207.19
  5. Step 5: Solve for x
    x = 22,625,207.19/5,212.80
  6. Step 6: Final answer
    x = 4,340.32

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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.