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Finding the Fourth Proportional to 5,051.57, 6,972.89 and 3,283.74

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Solution

The fourth proportional to 5,051.57, 6,972.89 and 3,283.74 is: 4,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.57 : 6,972.89 = 3,283.74 : x
  2. Step 2: Convert to fraction form
    5,051.57/6,972.89 = 3,283.74/x
  3. Step 3: Cross multiply
    5,051.57x = 6,972.89 × 3,283.74
  4. Step 4: Simplify right side
    5,051.57x = 22,897,141.39
  5. Step 5: Solve for x
    x = 22,897,141.39/5,051.57
  6. Step 6: Final answer
    x = 4,532.68

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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.