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Finding the Fourth Proportional to 4,894.96, 6,747.96 and 3,125.20

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Solution

The fourth proportional to 4,894.96, 6,747.96 and 3,125.20 is: 4,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.96 : 6,747.96 = 3,125.20 : x
  2. Step 2: Convert to fraction form
    4,894.96/6,747.96 = 3,125.20/x
  3. Step 3: Cross multiply
    4,894.96x = 6,747.96 × 3,125.20
  4. Step 4: Simplify right side
    4,894.96x = 21,088,724.59
  5. Step 5: Solve for x
    x = 21,088,724.59/4,894.96
  6. Step 6: Final answer
    x = 4,308.25

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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.