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Finding the Fourth Proportional to 4,784.08, 7,171 and 3,411.92

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Solution

The fourth proportional to 4,784.08, 7,171 and 3,411.92 is: 5,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.08 : 7,171 = 3,411.92 : x
  2. Step 2: Convert to fraction form
    4,784.08/7,171 = 3,411.92/x
  3. Step 3: Cross multiply
    4,784.08x = 7,171 × 3,411.92
  4. Step 4: Simplify right side
    4,784.08x = 24,466,878.32
  5. Step 5: Solve for x
    x = 24,466,878.32/4,784.08
  6. Step 6: Final answer
    x = 5,114.23

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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.