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Finding the Fourth Proportional to 4,734.65, 7,101.49 and 2,102.20

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Solution

The fourth proportional to 4,734.65, 7,101.49 and 2,102.20 is: 3,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.65 : 7,101.49 = 2,102.20 : x
  2. Step 2: Convert to fraction form
    4,734.65/7,101.49 = 2,102.20/x
  3. Step 3: Cross multiply
    4,734.65x = 7,101.49 × 2,102.20
  4. Step 4: Simplify right side
    4,734.65x = 14,928,752.28
  5. Step 5: Solve for x
    x = 14,928,752.28/4,734.65
  6. Step 6: Final answer
    x = 3,153.08

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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.