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Finding the Fourth Proportional to 4,734.35, 7,101.02 and 2,101.90

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Solution

The fourth proportional to 4,734.35, 7,101.02 and 2,101.90 is: 3,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.35 : 7,101.02 = 2,101.90 : x
  2. Step 2: Convert to fraction form
    4,734.35/7,101.02 = 2,101.90/x
  3. Step 3: Cross multiply
    4,734.35x = 7,101.02 × 2,101.90
  4. Step 4: Simplify right side
    4,734.35x = 14,925,622.93
  5. Step 5: Solve for x
    x = 14,925,622.93/4,734.35
  6. Step 6: Final answer
    x = 3,152.62

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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.