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Finding the Fourth Proportional to 4,607.71, 6,903.29 and 2,801.21

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Solution

The fourth proportional to 4,607.71, 6,903.29 and 2,801.21 is: 4,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.71 : 6,903.29 = 2,801.21 : x
  2. Step 2: Convert to fraction form
    4,607.71/6,903.29 = 2,801.21/x
  3. Step 3: Cross multiply
    4,607.71x = 6,903.29 × 2,801.21
  4. Step 4: Simplify right side
    4,607.71x = 19,337,564.98
  5. Step 5: Solve for x
    x = 19,337,564.98/4,607.71
  6. Step 6: Final answer
    x = 4,196.78

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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.