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Finding the Fourth Proportional to 5,852.67, 8,777.18 and 1,956.17

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Solution

The fourth proportional to 5,852.67, 8,777.18 and 1,956.17 is: 2,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.67 : 8,777.18 = 1,956.17 : x
  2. Step 2: Convert to fraction form
    5,852.67/8,777.18 = 1,956.17/x
  3. Step 3: Cross multiply
    5,852.67x = 8,777.18 × 1,956.17
  4. Step 4: Simplify right side
    5,852.67x = 17,169,602.53
  5. Step 5: Solve for x
    x = 17,169,602.53/5,852.67
  6. Step 6: Final answer
    x = 2,933.64

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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.