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Finding the Fourth Proportional to 4,729, 7,096.76 and 1,651

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Solution

The fourth proportional to 4,729, 7,096.76 and 1,651 is: 2,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729 : 7,096.76 = 1,651 : x
  2. Step 2: Convert to fraction form
    4,729/7,096.76 = 1,651/x
  3. Step 3: Cross multiply
    4,729x = 7,096.76 × 1,651
  4. Step 4: Simplify right side
    4,729x = 11,716,750.76
  5. Step 5: Solve for x
    x = 11,716,750.76/4,729
  6. Step 6: Final answer
    x = 2,477.64

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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.