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Finding the Fourth Proportional to 7,281, 10,918.92 and 2,897.28

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Solution

The fourth proportional to 7,281, 10,918.92 and 2,897.28 is: 4,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,918.92 = 2,897.28 : x
  2. Step 2: Convert to fraction form
    7,281/10,918.92 = 2,897.28/x
  3. Step 3: Cross multiply
    7,281x = 10,918.92 × 2,897.28
  4. Step 4: Simplify right side
    7,281x = 31,635,168.54
  5. Step 5: Solve for x
    x = 31,635,168.54/7,281
  6. Step 6: Final answer
    x = 4,344.89

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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.