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Finding the Fourth Proportional to 5,586.93, 7,707.02 and 3,492.27

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Solution

The fourth proportional to 5,586.93, 7,707.02 and 3,492.27 is: 4,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.93 : 7,707.02 = 3,492.27 : x
  2. Step 2: Convert to fraction form
    5,586.93/7,707.02 = 3,492.27/x
  3. Step 3: Cross multiply
    5,586.93x = 7,707.02 × 3,492.27
  4. Step 4: Simplify right side
    5,586.93x = 26,914,977.27
  5. Step 5: Solve for x
    x = 26,914,977.27/5,586.93
  6. Step 6: Final answer
    x = 4,817.49

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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.