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Finding the Fourth Proportional to 5,874.66, 8,106.02 and 3,884.14

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Solution

The fourth proportional to 5,874.66, 8,106.02 and 3,884.14 is: 5,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.66 : 8,106.02 = 3,884.14 : x
  2. Step 2: Convert to fraction form
    5,874.66/8,106.02 = 3,884.14/x
  3. Step 3: Cross multiply
    5,874.66x = 8,106.02 × 3,884.14
  4. Step 4: Simplify right side
    5,874.66x = 31,484,916.52
  5. Step 5: Solve for x
    x = 31,484,916.52/5,874.66
  6. Step 6: Final answer
    x = 5,359.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.