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Finding the Fourth Proportional to 4,976.61, 7,463.85 and 1,465.67

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Solution

The fourth proportional to 4,976.61, 7,463.85 and 1,465.67 is: 2,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.61 : 7,463.85 = 1,465.67 : x
  2. Step 2: Convert to fraction form
    4,976.61/7,463.85 = 1,465.67/x
  3. Step 3: Cross multiply
    4,976.61x = 7,463.85 × 1,465.67
  4. Step 4: Simplify right side
    4,976.61x = 10,939,503.71
  5. Step 5: Solve for x
    x = 10,939,503.71/4,976.61
  6. Step 6: Final answer
    x = 2,198.18

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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.