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Finding the Fourth Proportional to 4,716.65, 7,074.06 and 4,482.50

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Solution

The fourth proportional to 4,716.65, 7,074.06 and 4,482.50 is: 6,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.65 : 7,074.06 = 4,482.50 : x
  2. Step 2: Convert to fraction form
    4,716.65/7,074.06 = 4,482.50/x
  3. Step 3: Cross multiply
    4,716.65x = 7,074.06 × 4,482.50
  4. Step 4: Simplify right side
    4,716.65x = 31,709,438.58
  5. Step 5: Solve for x
    x = 31,709,438.58/4,716.65
  6. Step 6: Final answer
    x = 6,722.88

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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.