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Finding the Fourth Proportional to 4,992.84, 7,489.68 and 1,706.16

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Solution

The fourth proportional to 4,992.84, 7,489.68 and 1,706.16 is: 2,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.84 : 7,489.68 = 1,706.16 : x
  2. Step 2: Convert to fraction form
    4,992.84/7,489.68 = 1,706.16/x
  3. Step 3: Cross multiply
    4,992.84x = 7,489.68 × 1,706.16
  4. Step 4: Simplify right side
    4,992.84x = 12,778,592.43
  5. Step 5: Solve for x
    x = 12,778,592.43/4,992.84
  6. Step 6: Final answer
    x = 2,559.38

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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.