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Finding the Fourth Proportional to 4,737, 7,103.30 and 1,616.16

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Solution

The fourth proportional to 4,737, 7,103.30 and 1,616.16 is: 2,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 7,103.30 = 1,616.16 : x
  2. Step 2: Convert to fraction form
    4,737/7,103.30 = 1,616.16/x
  3. Step 3: Cross multiply
    4,737x = 7,103.30 × 1,616.16
  4. Step 4: Simplify right side
    4,737x = 11,480,069.33
  5. Step 5: Solve for x
    x = 11,480,069.33/4,737
  6. Step 6: Final answer
    x = 2,423.49

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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.