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Finding the Fourth Proportional to 3,845.84, 5,768.76 and 924.14

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Solution

The fourth proportional to 3,845.84, 5,768.76 and 924.14 is: 1,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.84 : 5,768.76 = 924.14 : x
  2. Step 2: Convert to fraction form
    3,845.84/5,768.76 = 924.14/x
  3. Step 3: Cross multiply
    3,845.84x = 5,768.76 × 924.14
  4. Step 4: Simplify right side
    3,845.84x = 5,331,113.02
  5. Step 5: Solve for x
    x = 5,331,113.02/3,845.84
  6. Step 6: Final answer
    x = 1,386.20

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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.