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Finding the Fourth Proportional to 4,897.71, 6,755.76 and 2,906.87

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Solution

The fourth proportional to 4,897.71, 6,755.76 and 2,906.87 is: 4,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.71 : 6,755.76 = 2,906.87 : x
  2. Step 2: Convert to fraction form
    4,897.71/6,755.76 = 2,906.87/x
  3. Step 3: Cross multiply
    4,897.71x = 6,755.76 × 2,906.87
  4. Step 4: Simplify right side
    4,897.71x = 19,638,082.29
  5. Step 5: Solve for x
    x = 19,638,082.29/4,897.71
  6. Step 6: Final answer
    x = 4,009.65

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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.