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Finding the Fourth Proportional to 3,929.07, 5,892.06 and 1,296.46

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Solution

The fourth proportional to 3,929.07, 5,892.06 and 1,296.46 is: 1,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.07 : 5,892.06 = 1,296.46 : x
  2. Step 2: Convert to fraction form
    3,929.07/5,892.06 = 1,296.46/x
  3. Step 3: Cross multiply
    3,929.07x = 5,892.06 × 1,296.46
  4. Step 4: Simplify right side
    3,929.07x = 7,638,820.11
  5. Step 5: Solve for x
    x = 7,638,820.11/3,929.07
  6. Step 6: Final answer
    x = 1,944.18

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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.