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Finding the Fourth Proportional to 3,152.51, 4,705.83 and 2,892.50

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Solution

The fourth proportional to 3,152.51, 4,705.83 and 2,892.50 is: 4,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.51 : 4,705.83 = 2,892.50 : x
  2. Step 2: Convert to fraction form
    3,152.51/4,705.83 = 2,892.50/x
  3. Step 3: Cross multiply
    3,152.51x = 4,705.83 × 2,892.50
  4. Step 4: Simplify right side
    3,152.51x = 13,611,589.75
  5. Step 5: Solve for x
    x = 13,611,589.75/3,152.51
  6. Step 6: Final answer
    x = 4,317.71

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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.