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Finding the Fourth Proportional to 5,032.96, 6,946.86 and 3,353.77

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Solution

The fourth proportional to 5,032.96, 6,946.86 and 3,353.77 is: 4,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.96 : 6,946.86 = 3,353.77 : x
  2. Step 2: Convert to fraction form
    5,032.96/6,946.86 = 3,353.77/x
  3. Step 3: Cross multiply
    5,032.96x = 6,946.86 × 3,353.77
  4. Step 4: Simplify right side
    5,032.96x = 23,298,170.66
  5. Step 5: Solve for x
    x = 23,298,170.66/5,032.96
  6. Step 6: Final answer
    x = 4,629.12

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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.