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Finding the Fourth Proportional to 4,677, 7,015.50 and 1,756.68

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Solution

The fourth proportional to 4,677, 7,015.50 and 1,756.68 is: 2,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 7,015.50 = 1,756.68 : x
  2. Step 2: Convert to fraction form
    4,677/7,015.50 = 1,756.68/x
  3. Step 3: Cross multiply
    4,677x = 7,015.50 × 1,756.68
  4. Step 4: Simplify right side
    4,677x = 12,323,988.54
  5. Step 5: Solve for x
    x = 12,323,988.54/4,677
  6. Step 6: Final answer
    x = 2,635.02

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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.