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Finding the Fourth Proportional to 4,916.84, 7,365.54 and 3,815.24

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Solution

The fourth proportional to 4,916.84, 7,365.54 and 3,815.24 is: 5,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.84 : 7,365.54 = 3,815.24 : x
  2. Step 2: Convert to fraction form
    4,916.84/7,365.54 = 3,815.24/x
  3. Step 3: Cross multiply
    4,916.84x = 7,365.54 × 3,815.24
  4. Step 4: Simplify right side
    4,916.84x = 28,101,302.83
  5. Step 5: Solve for x
    x = 28,101,302.83/4,916.84
  6. Step 6: Final answer
    x = 5,715.32

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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.