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Finding the Fourth Proportional to 4,818.21, 7,228.14 and 1,655.50

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Solution

The fourth proportional to 4,818.21, 7,228.14 and 1,655.50 is: 2,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.21 : 7,228.14 = 1,655.50 : x
  2. Step 2: Convert to fraction form
    4,818.21/7,228.14 = 1,655.50/x
  3. Step 3: Cross multiply
    4,818.21x = 7,228.14 × 1,655.50
  4. Step 4: Simplify right side
    4,818.21x = 11,966,163.56
  5. Step 5: Solve for x
    x = 11,966,163.56/4,818.21
  6. Step 6: Final answer
    x = 2,483.53

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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.