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Finding the Fourth Proportional to 4,616.67, 6,925.10 and 1,496.67

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Solution

The fourth proportional to 4,616.67, 6,925.10 and 1,496.67 is: 2,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.67 : 6,925.10 = 1,496.67 : x
  2. Step 2: Convert to fraction form
    4,616.67/6,925.10 = 1,496.67/x
  3. Step 3: Cross multiply
    4,616.67x = 6,925.10 × 1,496.67
  4. Step 4: Simplify right side
    4,616.67x = 10,364,599.52
  5. Step 5: Solve for x
    x = 10,364,599.52/4,616.67
  6. Step 6: Final answer
    x = 2,245.04

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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.