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Finding the Fourth Proportional to 4,897.04, 6,755.72 and 2,906.48

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Solution

The fourth proportional to 4,897.04, 6,755.72 and 2,906.48 is: 4,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.04 : 6,755.72 = 2,906.48 : x
  2. Step 2: Convert to fraction form
    4,897.04/6,755.72 = 2,906.48/x
  3. Step 3: Cross multiply
    4,897.04x = 6,755.72 × 2,906.48
  4. Step 4: Simplify right side
    4,897.04x = 19,635,365.07
  5. Step 5: Solve for x
    x = 19,635,365.07/4,897.04
  6. Step 6: Final answer
    x = 4,009.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.