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Finding the Fourth Proportional to 3,134.84, 4,669.45 and 2,992.68

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Solution

The fourth proportional to 3,134.84, 4,669.45 and 2,992.68 is: 4,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.84 : 4,669.45 = 2,992.68 : x
  2. Step 2: Convert to fraction form
    3,134.84/4,669.45 = 2,992.68/x
  3. Step 3: Cross multiply
    3,134.84x = 4,669.45 × 2,992.68
  4. Step 4: Simplify right side
    3,134.84x = 13,974,162.14
  5. Step 5: Solve for x
    x = 13,974,162.14/3,134.84
  6. Step 6: Final answer
    x = 4,457.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.