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Finding the Fourth Proportional to 3,916.79, 5,875.82 and 1,283.54

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Solution

The fourth proportional to 3,916.79, 5,875.82 and 1,283.54 is: 1,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.79 : 5,875.82 = 1,283.54 : x
  2. Step 2: Convert to fraction form
    3,916.79/5,875.82 = 1,283.54/x
  3. Step 3: Cross multiply
    3,916.79x = 5,875.82 × 1,283.54
  4. Step 4: Simplify right side
    3,916.79x = 7,541,814.21
  5. Step 5: Solve for x
    x = 7,541,814.21/3,916.79
  6. Step 6: Final answer
    x = 1,925.51

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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.