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Finding the Fourth Proportional to 3,916.84, 5,866.98 and 2,678.44

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Solution

The fourth proportional to 3,916.84, 5,866.98 and 2,678.44 is: 4,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.84 : 5,866.98 = 2,678.44 : x
  2. Step 2: Convert to fraction form
    3,916.84/5,866.98 = 2,678.44/x
  3. Step 3: Cross multiply
    3,916.84x = 5,866.98 × 2,678.44
  4. Step 4: Simplify right side
    3,916.84x = 15,714,353.91
  5. Step 5: Solve for x
    x = 15,714,353.91/3,916.84
  6. Step 6: Final answer
    x = 4,012.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.