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Finding the Fourth Proportional to 4,482.42, 6,185.76 and 2,493

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Solution

The fourth proportional to 4,482.42, 6,185.76 and 2,493 is: 3,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.42 : 6,185.76 = 2,493 : x
  2. Step 2: Convert to fraction form
    4,482.42/6,185.76 = 2,493/x
  3. Step 3: Cross multiply
    4,482.42x = 6,185.76 × 2,493
  4. Step 4: Simplify right side
    4,482.42x = 15,421,099.68
  5. Step 5: Solve for x
    x = 15,421,099.68/4,482.42
  6. Step 6: Final answer
    x = 3,440.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.