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Finding the Fourth Proportional to 4,737, 7,106.86 and 1,617.72

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Solution

The fourth proportional to 4,737, 7,106.86 and 1,617.72 is: 2,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 7,106.86 = 1,617.72 : x
  2. Step 2: Convert to fraction form
    4,737/7,106.86 = 1,617.72/x
  3. Step 3: Cross multiply
    4,737x = 7,106.86 × 1,617.72
  4. Step 4: Simplify right side
    4,737x = 11,496,909.56
  5. Step 5: Solve for x
    x = 11,496,909.56/4,737
  6. Step 6: Final answer
    x = 2,427.04

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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.