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Finding the Fourth Proportional to 4,973.73, 6,856.50 and 3,477

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Solution

The fourth proportional to 4,973.73, 6,856.50 and 3,477 is: 4,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.73 : 6,856.50 = 3,477 : x
  2. Step 2: Convert to fraction form
    4,973.73/6,856.50 = 3,477/x
  3. Step 3: Cross multiply
    4,973.73x = 6,856.50 × 3,477
  4. Step 4: Simplify right side
    4,973.73x = 23,840,050.50
  5. Step 5: Solve for x
    x = 23,840,050.50/4,973.73
  6. Step 6: Final answer
    x = 4,793.19

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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.