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Finding the Fourth Proportional to 5,032.60, 6,945.04 and 2,794.64

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Solution

The fourth proportional to 5,032.60, 6,945.04 and 2,794.64 is: 3,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.60 : 6,945.04 = 2,794.64 : x
  2. Step 2: Convert to fraction form
    5,032.60/6,945.04 = 2,794.64/x
  3. Step 3: Cross multiply
    5,032.60x = 6,945.04 × 2,794.64
  4. Step 4: Simplify right side
    5,032.60x = 19,408,886.59
  5. Step 5: Solve for x
    x = 19,408,886.59/5,032.60
  6. Step 6: Final answer
    x = 3,856.63

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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.