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Finding the Fourth Proportional to 4,897.20, 7,328.80 and 4,009.44

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Solution

The fourth proportional to 4,897.20, 7,328.80 and 4,009.44 is: 6,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.20 : 7,328.80 = 4,009.44 : x
  2. Step 2: Convert to fraction form
    4,897.20/7,328.80 = 4,009.44/x
  3. Step 3: Cross multiply
    4,897.20x = 7,328.80 × 4,009.44
  4. Step 4: Simplify right side
    4,897.20x = 29,384,383.87
  5. Step 5: Solve for x
    x = 29,384,383.87/4,897.20
  6. Step 6: Final answer
    x = 6,000.24

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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.